tag:blogger.com,1999:blog-62503521020787840832024-02-19T00:17:02.624-08:00MathGhoticDengan MATEMATIKA Kita Kuasai DuniaMathghotichttp://www.blogger.com/profile/10822387615000317651noreply@blogger.comBlogger7125tag:blogger.com,1999:blog-6250352102078784083.post-60892705358556913542009-10-11T23:08:00.000-07:002009-10-12T23:12:37.003-07:00TUGAS 5 PDMShow that<br />(A∪B)∩C =(A∩C)∪(B∩C)<br />Proof<br />(i) show that (A∪B)∩C⊂(A∩C) (B∩C)<br />take any x∈(A∪B)∩C<br />obvious x∈(A∪B)∩C<br />⇔x∈(A∪B) ∧ x∈C<br />⇔(x∈A ∨ x∈B) ∧ x∈C (distributif)<br />⇔x∈A ∧ x∈C ∨ x∈B ∧ x∈C<br />⇔x∈(A∩C) ∨ x∈ (B∩C)<br />⇔x∈(A∩C) ∪ (B∩C) so...<br /><br />we get for all x∈(A∪B) ∩C then x∈(A∩C)∪ (B∩C)<br />it means<br />(A∪B)∩C =(A∩C)∪(B∩C)<br /><br />ii. Show that A ⊂ B if and only if A ∩ B = A<br /> Proof:<br /> 1) Show that A ⊂ B ⇒ A ∩ B = A<br /> We have A ⊂ B<br /> It means ∀ x ∈ A,x ∈ B<br /> Show that A ⊂ A ∩ B<br /> Take any x ∈ A<br /> Obvious x ∈ A ∧ x ∈ A<br /> ⇔ x ∈ A ∧ x ∈ B (because ∀ x ∈ A,x ∈ B )<br /> ⇔ x ∈ A ∩ B<br /> We get for all x ∈ A then x ∈ A ∩ B<br /> It means A ⊂ A ∩ B....(1)<br /> 2) Show that A ∩ B ⊂ A<br /> Take any x ∈ A ∩ B<br /> Obvious x ∈ A ∩ B<br /> ⇔ x ∈ A ∧ x ∈ B<br /> ⇔ x ∈ A (simplifikasi)<br /> We get for all x ∈ A ∩ B,x ∈ A<br /> It means A ∩ B ⊂ A....(2)<br /> From (1) and (2) we conclude that A ∩ B = A<br /> So if A ⊂ B then A ∩ B = A<br /><br /> PBE<br /> 1. A ⊄ B<br /> 2. Tidak benar bahwa A ⊂ B<br /> 3. Tidak benar bahwa ∀ x ∈ A,x ∈ B<br /> 4. Tidak setiap x ∈ A berlaku x ∈ B<br /> 5. Ada x ∈ A yang bukan x ∈ B<br /> 6. Terdapat x ∈ A,x ∈ B<br /> 7. ∃ x ∈ A, x ∉ B<br /> 8. x ∈ A ∧ x ∉ B<br /><br /> Take any x ∈ A ∩ B<br /> Show that A ∩ B ⊂ A<br /> Andaikan A ∩ B ⊄ A<br /> maka ∃ x ∈ A ∩ B, akan tetapi x ⊄ A<br /> maka x ∈ A ∩ B ∧ x ∈ A komplemen<br /> ⇔ ( x ∈ A ∧ x ∈ B) ∧ x ∈ A komplemen (asosiatif)<br /> ⇔ x ∈ A ∧ x ∈ A komplemen ∧ x ∈ B<br /> ⇔ x ∈ ( A ∩ A komplemen) ∧ x ∈ B<br /> ⇔ x ∈ ∅ ∧ x ∈ B<br /> ⇔ x ∈ ( ∅ ∩ B )<br /> ⇔ x ∈ ∅<br /> Maka terjadi kontradiksi oleh sebab terdapat x ∈ A ∩ B dan x ∉ A berlaku x ∉ ∅<br /> Jadi pengandaian ditolak<br /> Jadi yang benar adalah A ∩ B ⊂ AMathghotichttp://www.blogger.com/profile/10822387615000317651noreply@blogger.com1tag:blogger.com,1999:blog-6250352102078784083.post-27006715382096658342009-10-07T01:28:00.000-07:002009-10-07T02:30:30.764-07:00TUGAS 4 PDM1.)Let A , B set and x is an element . While :<br /> a) x ∈ A ∩ B ⇔ x ∈ A ∧ x ∈ B<br /> b) x ∉ A ∩ B ⇔ x ∉ A ∧ x ∉ B<br /><br /> Answer:<br /> a) x ∈ A ∩ B ⇔ x ∈ A ∧ x ∈ B<br /> b) PBE :<br /> 1.) x ∉ A ∩ B<br /> 2.) Tidak benar bahwa x ∈ A ∩ B<br /> 3.) Tidak benar bahwa x ∈ A ∧ x ∈ B<br /> 4.) x ∉ A ∧ x ∉ B<br /><br />2.) Show that :<br />a) A ∩ A = A<br />b) A ∩ B = B ∩ A<br />c) (A ∩ B) ∩ C = A ∩ (B ∩ C )<br /><br />Answer:<br />a) Proof<br /> i) Show that A ∩ A ⊂A<br /> Take any x ∈ A ∩ A<br /> Obvious x ∈ A ∩ A<br /> ⇔ x ∈ A ∧ x ∈ A<br /> ⇔ x ∈ A (idempoten) ....(i)<br /> So A ∩ A ⊂A ⇔ x ∈ A<br /> ii)Show that A ⊂A ∩ A<br /> Take any x ∈ A ∩ A<br /> Obvious x ∈ A ∩ A<br /> ⇔ x ∈ A ∧ x ∈ A<br /> ⇔ x ∈ A (idempoten) ....(ii)<br /> So A ∩ A ⊂A ⇔ x ∈ A<br /> From that (i) and (ii) we conclude that A ∩ A = A<br />b) Proof<br /> i) Show that A ∩ B ⊂ B ∩ A<br /> Take any x ∈ A ∩ B<br /> Obvious x ∈ A ∩ B<br /> ⇔ x ∈ A ∧ x ∈ B<br /> ⇔ x ∈ B ∩ A<br /> So A ∩ B ⊂ B ∩ A (komutatif )...(i)<br /> ii) Show that B ∩ A ⊂A ∩ B<br /> Take any x ∈ B ∩ A<br /> Obvious x ∈ B ∩ A<br /> ⇔ x ∈ B ∧ x ∈ A<br /> ⇔ x ∈ A ∩ B<br /> So B ∩ A ⊂ A ∩ B (komutatif )...(ii)<br /> From that (i) and (ii) we conclude that A ∩ B = B ∩ A<br />c) Proof<br /> i) Show that (A ∩ B) ∩ C ⊂ A ∩ (B ∩ C )<br /> Take any x ∈ (A ∩ B) ∩ C<br /> Obvious x ∈ (A ∩ B) ∩ C<br /> ⇔ (x ∈ A ∧ x ∈ B) x ∈ C<br /> ⇔ x ∈ A ∧ ( x ∈ B x ∈ C)<br /> ⇔ x ∈ A ∩ (B ∩ C )<br /> So (A ∩ B) ∩ C ⊂ A ∩ (B ∩ C ) (asosiatif)...(i)<br /> ii) i) Show tha) A ∩ (B ∩ C )⊂ (A ∩ B) ∩ C<br /> Take any x ∈ A ∩ (B ∩ C )<br /> Obvious x ∈ A ∩ (B ∩ C )<br /> ⇔ x ∈ A ∧ ( x ∈ B x ∈ C)<br /> ⇔ (x ∈ A ∧ x ∈ B ) x ∈ C<br /> ⇔ x ∈ (A ∩ B ) ∩ C<br /> So A ∩ (B ∩ C ) ⊂ (A ∩ B) ∩ C (asosiatif)...(ii)<br /> From that (i) and (ii) we conclude that (A ∩ B) ∩ C = A ∩ (B ∩ C )Mathghotichttp://www.blogger.com/profile/10822387615000317651noreply@blogger.com0tag:blogger.com,1999:blog-6250352102078784083.post-9336286046278736602009-10-01T21:45:00.000-07:002009-10-06T18:11:41.314-07:00TUGAS 3 PDM<span style="font-weight: bold;">Bukti Keabsahan Modus Ponens</span><br /><br />((p ∧ →q) ∧ p) → q<br />≡ (( ~p ∨ q) ∧ p) → q (imp)<br />≡ ( ~p ∧ p) ∨ (q ∧ p) → q (dist)<br />≡ F ∨ (q ∧ p) → q (komp)<br />≡ (q ∧ p) → q (id)<br />≡ ~(q ∧ p) ∨ q (imp)<br />≡ ( ~q∨ ~p) ∨ q (DM)<br />≡ ( ~p∨ ~q) ∨ q (kom)<br />≡ ~p ∨ ( ~q ∨ q) (asso)<br />≡ ~p ∨ T (kom)<br />≡T(id)<br /><br /><span style="font-weight: bold;">Bukti Keabsahan Distruktif Silogisma (DS)</span><br /><br />[ (p ∨ q) ∧ ~p ] ⇒ q<br />≡ ( p ∧ ~p) ∨ (q ∧ ~p) ⇒ q (dist)<br />≡ F ∨ ( q ∧ ~p ) ⇒ q (komp)<br />≡ ( q ∧ ~p ) ⇒ q (id)<br />≡ ~ (q ∧ ~p) ∨ q (imp)<br />≡ ( ~q ∨ p ) ∨ q (DM)<br />≡ (p ∨ ~q) ∨ q (kom)<br />≡ p ∨ (~q ∨ q) (asso)<br />≡ p ∨ (q ∨ ~q) (kom)<br />≡ p ∨ T (komp)<br />≡ T ( id)<br /><br /><br /><span style="font-weight: bold;">Bukti Keabsahan Destructif Dilema (DD)</span><br /><br />{[(p ⇒ q) ∧ (r⇒s)]} ∧ (~q ∨ ~s)} ⇒ (~p ∨ ~r)<br />≡ [(~p ∨ q) ∧ (~r ∨ s ) ∧ (~q ∨ ~s)] ⇒ (~p ∨ ~r) (imp)<br />≡ [(p ∧ ~q) ∨ ( r ∧ ~s) ∨ (q ∧ s)] ∨ (~p ∨ r ) (imp)<br />≡ [(p ∧ ~q) ∨ (q ∧ s) ∨ (r ∧~s ) ∨ ( ~p ∨ ~r) (asso)<br />≡ [(p ∧ ~q ) ∨ (q ∧ s )] ∨ [( r ∧ ~s) ∨ (~p ∨ ~r)] (asso)<br />≡ [{(p ∧ ~q ) ∨ q }∧{ (p ∧~q) ∨ s}] ∨ [{(r ∧~s) ∨(~p ∨ ~r)] (dis)<br />≡ [{(p ∧ ~q ) ∨ q }∧{ (p ∧~q) ∨ s}] ∨ [{(r ∧~s) ∨ ~r} ∨ ~p] (asso)<br />≡ [{(p ∨ q ) ∧(~q ∨ q)}∧{(p ∨ s} ∧ (~q ∨ s)}] ∨ [{(r ∨~r) ∧( ~s ∨ ~r)} ∨ ~p] (dis)<br />≡ [{(p ∨ q ) ∧ T}∧{(p ∨ s) ∧ (~q ∨ s)}] ∨ [{ T ∧ ( ~s ∨ ~r)} ∨ ~p] (komp)<br />≡ [{(p ∨ q ) ∧{(p ∨ s) ∧ (~q ∨ s)}] ∨ [( ~s ∨ ~r)} ∨ ~p] (id)<br />≡ [{(p ∨ q ) ∧{(p ∨ s) ∧ (~q ∨ s)∨~p] ∨ ( ~s ∨ ~r) (asso)<br />≡ [{(p ∨ q ) ∨ ~p} ∧{(p ∨ s) ∨ ~p} ∧ {(q ∨ s)∨~p}] ∨ ( ~s ∨ ~r) (dis)<br />≡ [{(p ∨ ~p ) ∨ q} ∧{(p ∨ ~p) ∨ s} ∧ (q ∨ s ∨~p)] ∨ ( ~s ∨ ~r) (asso)<br />≡ [(T ∨ q) ∧(T ∨ s) ∧ (q ∨ s ∨~p)] ∨ ( ~s ∨ ~r) (komp)<br />≡ [(T ∧ T∧ (q ∨ s ∨~p)] ∨ ( ~s ∨ ~r) (id)<br />≡ (q ∨ s ∨~p) ∨ ( ~s ∨ ~r) (id)<br />≡ ( s ∨~s) ∨ ( ~p ∨ q ∨~r) (asso)<br />≡ T ∨ ( ~p ∨ q ∨~r) (komp)<br />≡ T (id)<br /><br /><br /><span style="font-weight: bold;">Bukti Keabsahan Konstructif Dilema (KD)</span><br /><br />p→q∧(r→s)<br />(p∨r)/∴(q∨s)<br /><br /> {[(p→q)∧(r→s)]∧(p∨r)}→(q∨s) <br />≡ [(p∨q)∧ (¬r∨s) ∧(p∨r)] →(q∨s) (imp)<br />≡ [(p∧¬q)∨ (r∧¬s)∨(¬p∧¬r)]∨ (q∨s) (imp)<br />≡ [(p∧¬q)∨ (¬p∧¬r)∨(r∧¬s)]∨ (q∨s) (asso)<br />≡ [(p∧¬q)∨ (¬p∧¬r)∨(r∧¬s)]∨ (q∨s)] (asso)<br />≡ [{(p∧¬q)∨ ¬p}∧{(p∧¬q)∨¬r}]∨[(r∧¬s)∨ (q∨s)] (dis)<br />≡ [{(p∧¬q)∨ ¬p}∧{(p∧¬q)∨¬r}]∨[{(r∧¬s)∨ s}∨q] (asso)<br />≡ [{(p∨¬p)∧(¬q∨ ¬p}∧{(p∨¬r)∧(¬q∨¬r)}]∨[{(r∨s)∧(¬s∨s)}∨ q] (dis)<br />≡ [{(T∧(¬q∨ ¬p)}∧{(p∨¬r)∧(¬q∨¬r)}]∨[{(r∨s)∧T}∨ q] (kom)<br />≡ [{(¬q∨ ¬p)∧{(p∨¬r)∧{(¬q∨¬r)}]∨[{(r∨s)∨q] (id)<br />≡ [{(¬q∨ ¬p)∧{(p∨¬r)∧{(¬q∨¬r)}∨ q]∨[(r∨s)] (asso)<br />≡ [{(¬q∨ ¬p)∨q}∧{p∨¬r)∨ q}∧{(¬q∨¬r)∨ q}]∨[(r∨s)] (dis)<br />≡ [{(¬q∨ q)∨¬p}∧(p∨q∨¬r)∧{(¬q∨ q)∨¬r}]∨[(r∨s)] (asso)<br />≡ [(T∨ ¬p)∧(p∨q∨¬r)∧(T∨¬r)]∨[(r∨s)] (komp)<br />≡ [T∧(p∨q∨¬r)∧T] (id)<br />≡ (p∨q∨¬r)∨(r∨s) (id)<br />≡ (r∨¬r)∨(p∨q∨s) (asso)<br />≡ T∨(p∨q∨s) (komp)<br />≡ T (id)<br /><br /><span style="font-weight: bold;">Bukti Keabsahan Modus Tollens (MT)</span><br /><br />((p→q) ∧ ~q) → ~p (imp)<br />≡ ((p→q) ∧ ~q) → ~p (dist)<br />≡ (~p∧~q) ∨ (q ∧ ~q) → ~p (id)<br />≡ (~p∧~q) ∨ F → ~p (komp)<br />≡ (~p∧~q) → ~p (imp)<br />≡ ~(~p∧~q) → ~p (DM)<br />≡ (p∨ q) ∨ ~p (asso)<br />≡ p∨ ( q∨ ~p) (kom)<br />≡ p∨ (~p∨ q) (asso)<br />≡ ( p∨~p ) ∨ q (kom)<br />≡ T∨ q (komp)<br />≡ T (id)Mathghotichttp://www.blogger.com/profile/10822387615000317651noreply@blogger.com0tag:blogger.com,1999:blog-6250352102078784083.post-30973027620337797712009-09-14T21:30:00.001-07:002009-09-15T16:36:33.632-07:00TUGAS 2 PDM<meta equiv="Content-Type" content="text/html; charset=utf-8"><meta name="ProgId" content="Word.Document"><meta name="Generator" content="Microsoft Word 12"><meta name="Originator" content="Microsoft Word 12"><link rel="File-List" href="file:///C:%5CUsers%5Cuser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_filelist.xml"><link rel="Edit-Time-Data" href="file:///C:%5CUsers%5Cuser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_editdata.mso"><link rel="OLE-Object-Data" href="file:///C:%5CUsers%5Cuser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_oledata.mso"><!--[if !mso]> <style> v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* 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margin-left:74.7pt; text-indent:-18.0pt; font-family:Wingdings;} ol {margin-bottom:0cm;} ul {margin-bottom:0cm;} --> </style><p class="MsoNormal" style="line-height: 150%;"><font style="line-height: 150%;" face=""" size="3"><o:p><br /></o:p></font></p> <p class="MsoListParagraphCxSpFirst" style="margin-left: 18pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">I.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Tentukan invers, konvers, dan kontraposisi dari proposisi berikut ini :<o:p></o:p></font></p><p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><font face="Arial" size="3"> 1. (p Λ q )</font><font face="Arial" size="3"> → r</font></p><p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><font size="3"> 2. </font><font face="Arial" size="3">p</font><font face="Arial" size="3"> →</font><font size="3"> </font><font face="Arial" size="3">(q Λ r )</font></p><p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><font face="Arial" size="3"> 3. </font><font face="Arial" size="3">~p</font><font face="Arial" size="3"> →</font><font size="3"> </font><font face="Arial" size="3">(q Λ</font><font face="Arial" size="3">~r</font><font face="Arial" size="3"> </font><font face="Arial" size="3"> )</font></p><p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><font face="Arial" size="3"> 4. </font><font face="Arial" size="3">(p</font><font face="Arial">V</font><font face="Arial" size="3">~</font><font face="Arial" size="3">q</font><font face="Arial" size="3"> )</font><font face="Arial" size="3">→</font><font face="Arial" size="3">(q Λ r )</font></p><p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><font face="Arial" size="3">5. </font><font face="Arial" size="3">(</font><font face="Arial" size="3">~</font><font face="Arial" size="3">q Λ</font><font face="Arial" size="3">~r</font><font face="Arial" size="3"> </font><font face="Arial" size="3"> )</font><font face="Arial" size="3">→</font><font face="Arial" size="3"> </font><font face="Arial" size="3">(</font><font face="Arial" size="3">~</font><font face="Arial" size="3">p</font><font face="Arial">V</font><font face="Arial" size="3">q</font><font face="Arial" size="3"> )</font></p><p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><font face="Arial" size="3">6. </font><font face="Arial" size="3"> </font><font face="Arial" size="3">(q</font><font face="Arial"> V</font><font face="Arial" size="3">~</font><font face="Arial" size="3">r</font><font face="Arial" size="3"> )</font><font face="Arial" size="3">→</font><font face="Arial" size="3"> (p Λr )</font><font face="Arial" size="3"> </font></p><font face="Arial" size="3"></font><p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"></p><p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style=""><font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3"><!--[if gte vml 1]><v:shape id="_x0000_i1027" type="#_x0000_t75" style="'width:77.25pt;height:15.75pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image005.wmz" title=""> </v:shape><![endif]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1027" drawaspect="Content" objectid="_1314519964"> </o:OLEObject> </xml><![endif]--></font><font style="line-height: 150%;" face=""" size="3"><o:p></o:p></font></p> <p class="MsoNormal" style="line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style=""><br /><font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3"><!--[if gte vml 1]><v:shape id="_x0000_i1032" type="#_x0000_t75" style="'width:59.25pt;height:15.75pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image015.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1032" drawaspect="Content" objectid="_1314519970"> </o:OLEObject> </xml><![endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1033" type="#_x0000_t75" style="'width:36.75pt;height:15.75pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image017.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1033" drawaspect="Content" objectid="_1314519971"> </o:OLEObject> </xml><![endif]--></font><font style="line-height: 150%;" face=""" size="3"><o:p></o:p>Jawaban :<o:p></o:p></font></p> <p class="MsoListParagraph" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">1.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3"> Konvers<font style=""> </font>:</font><font face="Arial" size="3"> </font><font face="Arial" size="3">r</font><font face="Arial" size="3">→</font><font face="Arial" size="3"> (p Λ q )</font><font face="Arial" size="3"></font></p> <p class="MsoNormal" style="margin-left: 36pt; line-height: 150%;"><font style="line-height: 150%;" face=""" size="3"><span style="font-style: italic;"></span>Invers<font style=""> </font><font style=""> </font>:</font><font face="Arial" size="3"> </font><font face="Arial" size="3"> (</font><font face="Arial" size="3">~</font><font face="Arial" size="3">p </font><font face="Arial">V</font><font face="Arial" size="3">~</font><font face="Arial" size="3">q )</font><font face="Arial" size="3">→</font><font face="Arial" size="3"> ~</font><font face="Arial" size="3"> </font><font face="Arial" size="3">r</font></p> <p class="MsoNormal" style="margin-left: 36pt; line-height: 150%;"><font style="line-height: 150%;" face=""" size="3">Kontraposisi<font style=""> </font>:</font><font face="Arial" size="3">~</font><font face="Arial" size="3"> </font><font face="Arial" size="3">r </font><font face="Arial" size="3">→ </font><font face="Arial" size="3"> (</font><font face="Arial" size="3">~</font><font face="Arial" size="3">p </font><font face="Arial">V</font><font face="Arial" size="3">~</font><font face="Arial" size="3">q )</font></p> <p class="MsoNormal" style="line-height: 150%;"><font style="line-height: 150%;" face=""" size="3"><font style=""> </font>Contoh dalam kalimat :<o:p></o:p></font></p> <p class="MsoListParagraphCxSpFirst" style="margin-left: 60.55pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Symbol" size="3"><font style="">·<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Jika Indonesia adalah suatu negara dan Jakarta adalah ibukota maka pancasila adalah dasar negara.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 108.75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers <font style=""> </font>: Jika pancasila adalah dasar negara maka Indonesia adalah suatu negara dan Jakarta adalah Ibukota.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 108.75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Invers <font style=""> </font>: Jika Indonesia bukan suatu negara atau Jakarta bukan Ibukota maka pancasila bukan dasar negara.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 108.75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Kontraposisi : Jika pancasila<font style=""> </font>bukan dasar negara maka Indonesia bukan suatu negara atau Jakarta bukan Ibukota.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpLast" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">2.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3"> Konvers<font style=""> </font>: </font><font face="Arial" size="3">(q Λ r ) </font><font face="Arial" size="3">→ </font><font size="3"> </font><font face="Arial" size="3">p</font></p> <p class="MsoNormal" style="margin-left: 36pt; line-height: 150%;"><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font>: </font><font face="Arial" size="3"> </font><font face="Arial" size="3">~</font><font face="Arial" size="3">p </font><font face="Arial" size="3">→ </font><font face="Arial" size="3">~</font><font face="Arial" size="3">q </font><font face="Arial">V </font><font face="Arial" size="3">~</font><font face="Arial" size="3">r</font></p> <p class="MsoNormal" style="margin-left: 36pt; line-height: 150%;"><font style="line-height: 150%;" face=""" size="3">Kontraposisi<font style=""> </font>: </font><font face="Arial" size="3">~</font><font face="Arial" size="3">q </font><font face="Arial">V </font><font face="Arial" size="3">~</font><font face="Arial" size="3">r </font><font face="Arial" size="3">→ </font><font style="line-height: 150%;" face=""" size="3"> </font><font face="Arial" size="3"> </font><font face="Arial" size="3">~</font><font face="Arial" size="3">p </font></p> <p class="MsoNormal" style="line-height: 150%;"><font style="line-height: 150%;" face=""" size="3"><font style=""> </font>Contoh dalam kalimat :<o:p></o:p></font></p> <p class="MsoListParagraphCxSpFirst" style="margin-left: 60.55pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Symbol" size="3"><font style="">·<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3"><font style=""> </font>Jika semua warga negara membayar pajak maka pembangunan<font style=""> </font>berjalan lancar dan masyarakat hidup makmur.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 131.25pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers<font style=""> </font><font style=""> </font>: Jika pembangunan berjalan lancar dan masyarakat hidup makmur maka semua warga negara membayar pajak.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 131.25pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font><font style=""> </font>: Jika ada warga negara yang tidak membayar pajak maka pembangunan tidak berjalan lancar atau masyarakat tidak hidup makmur.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 131.25pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Kontraposisi : Jika pembangunan tidak berjalan lancar atau masyarakat tidak hidup makmur maka ada warga negara yang tidak membayar pajak.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpLast" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">3.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3"> Konvers : </font><font face="Arial" size="3">(q Λ</font><font face="Arial" size="3">~r</font><font face="Arial" size="3"> </font><font face="Arial" size="3"> ) </font><font face="Arial" size="3">→ </font><font face="Arial" size="3">~</font><font face="Arial" size="3">p</font></p> <p class="MsoNormal" style="margin-left: 36pt; line-height: 150%;"><font style="line-height: 150%;" face=""" size="3"> Invers<font style=""> </font>: </font><font face="Arial" size="3">p </font><font face="Arial" size="3">→ </font><font face="Arial" size="3">~</font><font face="Arial" size="3">q </font><font face="Arial">V </font><font face="Arial" size="3">r</font><font face="Arial" size="3"> </font><font face="Arial" size="3"> </font></p> <p class="MsoNormal" style="margin-left: 36pt; line-height: 150%;"><font style="line-height: 150%;" face=""" size="3"> Kontraposisi : </font><font face="Arial" size="3">~</font><font face="Arial" size="3">q </font><font face="Arial">V </font><font face="Arial" size="3">r </font><font face="Arial" size="3">→ </font><font face="Arial" size="3">p </font></p> <p class="MsoNormal" style="line-height: 150%;"><font style="line-height: 150%;" face=""" size="3">Contoh dalam Kalimat :<o:p></o:p></font></p> <p class="MsoListParagraphCxSpFirst" style="margin-left: 60.55pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Symbol" size="3"><font style="">·<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Jika Zahra tidak mengerjakan tugas maka Zahra memperoleh hukuman dan tidak mendapat nilai A.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 138.5pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers : Jika Zahra memperoleh hukuman dan tidak mendapat nilai A maka Zahra tidak mengerjakan tugas.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 138.5pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font>: Jika Zahra mengerjakan tugas maka Zahra tidak memperoleh hukuman atau mendapat nilai A.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 138.5pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Kontraposisi : Jika Zahra tidak memperoleh hukuman atau mendapat nilai A maka Zahra mengerjakan tugas.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpLast" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">4.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3"> Konvers<font style=""> </font>: </font><font face="Arial" size="3">(q Λ r ) </font><font face="Arial" size="3">→ </font><font face="Arial" size="3"> </font><font face="Arial" size="3">(p</font><font face="Arial">V</font><font face="Arial" size="3">~</font><font face="Arial" size="3">q</font><font face="Arial" size="3"> )</font></p> <p class="MsoNormal" style="margin-left: 36pt; line-height: 150%;"><font style="line-height: 150%;" face=""" size="3"> Invers<font style=""> </font>: </font><font face="Arial" size="3"> </font><font face="Arial" size="3">(</font><font face="Arial" size="3">~</font><font face="Arial" size="3">p</font><font face="Arial" size="3">Λ </font><font face="Arial" size="3">q</font><font face="Arial" size="3"> ) </font><font face="Arial" size="3">→ </font><font face="Arial" size="3">(</font><font face="Arial" size="3">~</font><font face="Arial" size="3">q </font><font face="Arial">V</font><font face="Arial" size="3"> </font><font face="Arial" size="3">~</font><font face="Arial" size="3">r )</font></p> <p class="MsoNormal" style="margin-left: 36pt; line-height: 150%;"><font style="line-height: 150%;" face=""" size="3"> Kontraposisi : </font><font face="Arial" size="3">(</font><font face="Arial" size="3">~</font><font face="Arial" size="3">q </font><font face="Arial">V</font><font face="Arial" size="3"> </font><font face="Arial" size="3">~</font><font face="Arial" size="3">r ) </font><font face="Arial" size="3">→ </font><font face="Arial" size="3">(</font><font face="Arial" size="3">~</font><font face="Arial" size="3">p</font><font face="Arial" size="3">Λ </font><font face="Arial" size="3">q</font><font face="Arial" size="3"> )</font></p> <p class="MsoNormal" style="line-height: 150%;"><font style="line-height: 150%;" face=""" size="3"><font style=""> </font>Contoh dalam Kalimat :<o:p></o:p></font></p> <p class="MsoListParagraphCxSpFirst" style="margin-left: 60.55pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Symbol" size="3"><font style="">·<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Jika adik tersenyum atau ibu tidak pergi maka ibu pergi dan kakak belajar<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 145.6pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers : Jika Ibu pergi dan kakak belajar maka adik tersenyum atau Ibu tidak pergi.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 145.6pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font>: Jika Adik tidak tersenyum dan<font style=""> </font>Ibu pergi maka Ibu tidak pergi atau kakak tidak belajar.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 145.6pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3"><font style=""> </font>Kontraposisi : Jika Ibu tidak pergi atau kakak tidak belajar maka Adik tidak tersenyum dan<font style=""> </font>ibu<font style=""> </font>pergi.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpLast" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">5.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3"> Konvers : </font><font face="Arial" size="3">(</font><font face="Arial" size="3">~</font><font face="Arial" size="3">p</font><font face="Arial">V</font><font face="Arial" size="3">q</font><font face="Arial" size="3"> ) </font><font face="Arial" size="3">→ </font><font face="Arial" size="3">(</font><font face="Arial" size="3">~</font><font face="Arial" size="3">q Λ</font><font face="Arial" size="3">~r</font><font face="Arial" size="3"> </font><font face="Arial" size="3"> )</font></p> <p class="MsoNormal" style="margin-left: 36pt; line-height: 150%;"><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font>: </font><font face="Arial" size="3">(</font><font face="Arial" size="3">q</font><font face="Arial"> V</font><font face="Arial" size="3"> </font><font face="Arial" size="3">r</font><font face="Arial" size="3"> </font><font face="Arial" size="3"> ) </font><font face="Arial" size="3">→ </font><font face="Arial" size="3">(</font><font face="Arial" size="3">p</font><font face="Arial" size="3">Λ</font><font face="Arial" size="3">~</font><font face="Arial" size="3">q</font><font face="Arial" size="3"> )</font></p> <p class="MsoNormal" style="margin-left: 36pt; line-height: 150%;"><font style="line-height: 150%;" face=""" size="3">Kontraposisi : </font><font face="Arial" size="3">(</font><font face="Arial" size="3">p</font><font face="Arial" size="3">Λ</font><font face="Arial" size="3">~</font><font face="Arial" size="3">q</font><font face="Arial" size="3"> ) </font><font face="Arial" size="3">→ </font><font face="Arial" size="3">(</font><font face="Arial" size="3">q</font><font face="Arial"> V</font><font face="Arial" size="3"> </font><font face="Arial" size="3">r</font><font face="Arial" size="3"> </font><font face="Arial" size="3"> ) </font></p> <p class="MsoNormal" style="line-height: 150%;"><font style="line-height: 150%;" face=""" size="3"><font style=""> </font>Contoh dalam Kalimat :<o:p></o:p></font></p> <p class="MsoListParagraphCxSpFirst" style="margin-left: 60.55pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Symbol" size="3"><font style="">·<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Jika hari tidak hujan dan cuaca tidak panas maka Rizal tidak pergi kuliah atau hari hujan<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 189pt; line-height: 150%;"><font style="line-height: 150%;" face=""" size="3"><o:p> </o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 161.25pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers <font style=""> </font>: Jika Rizal tidak pergi kuliah atau hari hujan maka hari tidak hujan dan cuaca tidak panas.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 161.25pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font><font style=""> </font><font style=""> </font>: Jika hari hujan atau cuaca panas maka Rizal pergi kuliah dan hari tidak hujan.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 161.25pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Kontraposisi : Jika Rizal pergi kuliah dan hari tidak hujan maka hari hujan atau cuaca panas.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpLast" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">6.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers<font style=""> </font><font style=""> </font>: </font><font face="Arial" size="3">(p Λr ) </font><font face="Arial" size="3">→ </font><font face="Arial" size="3">(q</font><font face="Arial"> V</font><font face="Arial" size="3">~</font><font face="Arial" size="3">r</font><font face="Arial" size="3"> )</font></p> <p class="MsoNormal" style="margin-left: 36pt; line-height: 150%;"><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font><font style=""> </font>: </font><font face="Arial" size="3">(</font><font face="Arial" size="3">~</font><font face="Arial" size="3">q</font><font face="Arial"> </font><font face="Arial" size="3">Λ</font> <font face="Arial" size="3">r</font><font face="Arial" size="3"> ) </font><font face="Arial" size="3">→ </font><font face="Arial" size="3">(</font><font face="Arial" size="3">~</font><font face="Arial" size="3">p </font><font face="Arial">V</font> <font face="Arial" size="3">~</font><font face="Arial" size="3">r )</font></p> <p class="MsoNormal" style="margin-left: 36pt; line-height: 150%;"><font style="line-height: 150%;" face=""" size="3">Kontraposisi : </font><font face="Arial" size="3">(</font><font face="Arial" size="3">~</font><font face="Arial" size="3">p </font><font face="Arial">V</font> <font face="Arial" size="3">~</font><font face="Arial" size="3">r ) </font><font face="Arial" size="3">→ </font><font face="Arial" size="3">(</font><font face="Arial" size="3">~</font><font face="Arial" size="3">q</font><font face="Arial"> </font><font face="Arial" size="3">Λ</font> <font face="Arial" size="3">r</font><font face="Arial" size="3"> ) </font></p> <p class="MsoNormal" style="line-height: 150%;"><font style="line-height: 150%;" face=""" size="3">Contoh dalam Kalimat :<o:p></o:p></font></p> <p class="MsoListParagraphCxSpFirst" style="margin-left: 60.55pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Symbol" size="3"><font style="">·<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Jika Barkah rajin membantu ibu atau Barkah tidak malas maka ayah memberikannya motor dan Barkah malas.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 166.85pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers <font style=""> </font>: Jika ayah akan memberikan Barkah motor dan Barkah malas maka Barkah rajin membantu ibu atau Barkah tidak malas.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 166.85pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font><font style=""> </font>: Jika Barkah tidak rajin membantu ibu dan Barkah malas maka ayah tidak memberikannya motor atau Barkah tidak malas.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpLast" style="margin-left: 166.85pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">Ø<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Kontraposisi : Jika Ayah tidak memberikan Barkah motor atau Barkah tidak malas maka Barkah tidak rajin membantu ibu dan Barkah malas.<o:p></o:p></font></p> <p class="MsoNormal" style="line-height: 150%;"><font style="line-height: 150%;" face=""" size="3"><o:p> </o:p></font></p> <p class="MsoListParagraphCxSpFirst" style="margin-left: 18pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">II.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Tentukan invers, konvers, dan kontraposisi pernyataan berikut :<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">a.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Jika hasil produksi melimpah maka harganya turun.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers <font style=""> </font>: Jika harga turun maka hasil produksi melimpah.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font><font style=""> </font>: Jika hasil produksi tidak melimpah maka harganya tidak turun.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Kontraposisi : Jika harganya tidak turun maka hasil produksi tidak melimpah.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">b.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Jika lapangan pekerjaan tidak banyak maka pengangguran meningkat.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 74.7pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers<font style=""> </font>: Jika pengangguran meningkat maka lapangan pekerjaan tidak banyak.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 74.7pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Invers <font style=""> </font>: Jika lapangan pekerjaan banyak maka pengangguran tidak meningkat.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 74.7pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Kontraposisi : Jika pengangguran tidak meningkat maka lapangan pekerjaan banyak.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">c.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Jika ABCD bujur sangkar maka ABCD segiempat.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers <font style=""> </font>: Jika ABCD segiempat maka ABCD bujur sangkar.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font><font style=""> </font>: Jika ABCD bukan bujur sangkar maka ABCD bukan segiempat.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Kontraposisi : Jika ABCD bukan segi empat maka ABCD bukan bujur sangkar.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">d.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Jika<font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1060" type="#_x0000_t75" style="'width:9.75pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image069.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1060" drawaspect="Content" objectid="_1314520000"> </o:OLEObject> </xml><![endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1061" type="#_x0000_t75" style="'width:24pt;height:14.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image071.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1061" drawaspect="Content" objectid="_1314520002"> </o:OLEObject> </xml><![endif]--></font><font style=""> </font>maka x</font><font style="line-height: 150%;" face=""" size="3">>10 maka </font><font style="line-height: 150%;" face=""" size="3"> x<sup>2</sup>>100<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers<font style=""> </font><font style=""> </font><font style=""> </font>: Jika x<sup>2</sup>>100 maka x>10<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font><font style=""> </font>: Jika </font><font style="line-height: 150%;" face=""" size="3">x<=10</font><font style="line-height: 150%;" face=""" size="3"> <font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1062" type="#_x0000_t75" style="'width:24pt;height:14.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image073.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1062" drawaspect="Content" objectid="_1314520003"> </o:OLEObject> </xml><![endif]--></font>maka </font><font style="line-height: 150%;" face=""" size="3">x<sup>2</sup></font><font style="line-height: 150%;" face=""" size="3"><=</font><font style="line-height: 150%;" face=""" size="3"> 100<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Kontraposisi : Jika </font><font style="line-height: 150%;" face=""" size="3">x<sup>2</sup></font><font style="line-height: 150%;" face=""" size="3"><=</font><font style="line-height: 150%;" face=""" size="3"> 100 maka </font><font style="line-height: 150%;" face=""" size="3">x<=10</font></p> <p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">e.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Jika </font><font style="line-height: 150%;" face=""" size="3">x<sup>2</sup></font><font style="line-height: 150%;" face=""" size="3"> - 16 =0 <font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1066" type="#_x0000_t75" style="'width:14.25pt;height:15.75pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image078.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1066" drawaspect="Content" objectid="_1314520007"> </o:OLEObject> </xml><![endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1067" type="#_x0000_t75" style="'width:42pt;height:14.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image080.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1067" drawaspect="Content" objectid="_1314520008"> </o:OLEObject> </xml><![endif]--></font>maka <font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1068" type="#_x0000_t75" style="'width:29.25pt;height:14.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image082.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1068" drawaspect="Content" objectid="_1314520009"> </o:OLEObject> </xml><![endif]--></font>x =4 atau x=-4<font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1069" type="#_x0000_t75" style="'width:35.25pt;height:14.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image084.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1069" drawaspect="Content" objectid="_1314520010"> </o:OLEObject> </xml><![endif]--></font><o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 74.7pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers<font style=""> </font><font style=""> </font>: Jika </font><font style="position: relative; top: 3pt;" size="3"><!--[if gte vml 1]><v:shape id="_x0000_i1070" type="#_x0000_t75" style="'width:29.25pt;height:14.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image086.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1070" drawaspect="Content" objectid="_1314520011"> </o:OLEObject> </xml><![endif]--></font><font style="line-height: 150%;" face=""" size="3"><font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1068" type="#_x0000_t75" style="'width:29.25pt;height:14.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image082.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1068" drawaspect="Content" objectid="_1314520009"> </o:OLEObject> </xml><![endif]--></font>x =4 atau x=-4</font><font style="line-height: 150%;" face=""" size="3"> </font><font style="position: relative; top: 3pt;" size="3"><!--[if gte vml 1]><v:shape id="_x0000_i1071" type="#_x0000_t75" style="'width:35.25pt;height:14.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image087.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1071" drawaspect="Content" objectid="_1314520012"> </o:OLEObject> </xml><![endif]--></font><font style="line-height: 150%;" face=""" size="3"><font style=""> </font>maka </font><font style="line-height: 150%;" face=""" size="3">x<sup>2</sup></font><font style="line-height: 150%;" face=""" size="3"> - 16 = 0 <font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1066" type="#_x0000_t75" style="'width:14.25pt;height:15.75pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image078.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1066" drawaspect="Content" objectid="_1314520007"> </o:OLEObject> </xml><![endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1067" type="#_x0000_t75" style="'width:42pt;height:14.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image080.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1067" drawaspect="Content" objectid="_1314520008"> </o:OLEObject> </xml><![endif]--></font></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 74.7pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font>: Jika <font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1074" type="#_x0000_t75" style="'width:14.25pt;height:15.75pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image088.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1074" drawaspect="Content" objectid="_1314520016"> </o:OLEObject> </xml><![endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1075" type="#_x0000_t75" style="'width:42pt;height:14.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image089.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1075" drawaspect="Content" objectid="_1314520017"> </o:OLEObject> </xml><![endif]--></font><font style=""> </font></font><font style="line-height: 150%;" face=""" size="3">x<sup>2</sup></font><font style="line-height: 150%;" face=""" size="3"> - 16 tidak sama dengan 0 </font><font style="line-height: 150%;" face=""" size="3">maka </font><font style="position: relative; top: 3pt;" size="3"><!--[if gte vml 1]><v:shape id="_x0000_i1070" type="#_x0000_t75" style="'width:29.25pt;height:14.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image086.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1070" drawaspect="Content" objectid="_1314520011"> </o:OLEObject> </xml><![endif]--></font><font style="line-height: 150%;" face=""" size="3"><font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1068" type="#_x0000_t75" style="'width:29.25pt;height:14.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image082.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1068" drawaspect="Content" objectid="_1314520009"> </o:OLEObject> </xml><![endif]--></font>x tidak sama dengan 4 dan x tidak sama dengan -4</font><font style="line-height: 150%;" face=""" size="3"> </font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 74.7pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Kontraposisi : Jika </font><font style="line-height: 150%;" face=""" size="3">x tidak sama dengan 4 dan x tidak </font><font style="line-height: 150%;" face=""" size="3">sama dengan -4 </font><font style="line-height: 150%;" face=""" size="3">maka </font><font style="line-height: 150%;" face=""" size="3">x<sup>2</sup></font><font style="line-height: 150%;" face=""" size="3"> - 16 tidak sama dengan 0 </font></p> <p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">f.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Jika <font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1082" type="#_x0000_t75" style="'width:54pt;height:15.75pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image097.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1082" drawaspect="Content" objectid="_1314520024"> </o:OLEObject> </xml><![endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1083" type="#_x0000_t75" style="'width:36pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image099.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1083" drawaspect="Content" objectid="_1314520025"> </o:OLEObject> </xml><![endif]--></font><font style=""> </font></font><font style="line-height: 150%;" face=""" size="3">sin x <font style="position: relative; top: 2pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1088" type="#_x0000_t75" style="'width:11.25pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image102.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1088" drawaspect="Content" objectid="_1314520031"> </o:OLEObject> </xml><![endif]--></font>= 90<sup>0</sup>-cos x </font><font style="line-height: 150%;" face=""" size="3">maka <font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1084" type="#_x0000_t75" style="'width:9.75pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image101.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1084" drawaspect="Content" objectid="_1314520026"> </o:OLEObject> </xml><![endif]--></font><font style=""> </font>x merupakan sudut lancip.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers<font style=""> </font><font style=""> </font>: Jika <font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1085" type="#_x0000_t75" style="'width:9.75pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image101.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1085" drawaspect="Content" objectid="_1314520027"> </o:OLEObject> </xml><![endif]--></font><font style=""> </font>x merupakan sudut lancip maka </font><font style="line-height: 150%;" face=""" size="3">sin x <font style="position: relative; top: 2pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1088" type="#_x0000_t75" style="'width:11.25pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image102.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1088" drawaspect="Content" objectid="_1314520031"> </o:OLEObject> </xml><![endif]--></font> = 90<sup>0</sup>-cos x</font><font style="line-height: 150%;" face=""" size="3"> <font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1086" type="#_x0000_t75" style="'width:54pt;height:15.75pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image097.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1086" drawaspect="Content" objectid="_1314520028"> </o:OLEObject> </xml><![endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1087" type="#_x0000_t75" style="'width:36pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image099.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1087" drawaspect="Content" objectid="_1314520029"> </o:OLEObject> </xml><![endif]--></font>.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font>: Jika sin x tidak sama dengan <font style="position: relative; top: 2pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1088" type="#_x0000_t75" style="'width:11.25pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image102.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1088" drawaspect="Content" objectid="_1314520031"> </o:OLEObject> </xml><![endif]--></font>90<sup>0</sup>-cos x maka x bukan merupakan sudut lancip <font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1089" type="#_x0000_t75" style="'width:54pt;height:15.75pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image097.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1089" drawaspect="Content" objectid="_1314520032"> </o:OLEObject> </xml><![endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1090" type="#_x0000_t75" style="'width:36pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image099.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1090" drawaspect="Content" objectid="_1314520033"> </o:OLEObject> </xml><![endif]--></font>.<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Kontraposisi : Jika </font><font style="line-height: 150%;" face=""" size="3">x bukan merupakan sudut </font><font style="line-height: 150%;" face=""" size="3"><font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1091" type="#_x0000_t75" style="'width:54pt;height:15.75pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image097.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1091" drawaspect="Content" objectid="_1314520034"> </o:OLEObject> </xml><![endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1092" type="#_x0000_t75" style="'width:36pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image099.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1092" drawaspect="Content" objectid="_1314520035"> </o:OLEObject> </xml><![endif]--></font><font style=""> </font></font><font style="line-height: 150%;" face=""" size="3">lancip <font style="position: relative; top: 3pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1089" type="#_x0000_t75" style="'width:54pt;height:15.75pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image097.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1089" drawaspect="Content" objectid="_1314520032"> </o:OLEObject> </xml><![endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1090" type="#_x0000_t75" style="'width:36pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image099.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1090" drawaspect="Content" objectid="_1314520033"> </o:OLEObject> </xml><![endif]--></font></font><font style="line-height: 150%;" face=""" size="3">maka sin x tidak sama dengan <font style="position: relative; top: 2pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1093" type="#_x0000_t75" style="'width:11.25pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image102.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1093" drawaspect="Content" objectid="_1314520036"> </o:OLEObject> </xml><![endif]--></font>90<sup>0</sup>-cos x<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face=""" size="3"><font style="">g.<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Jika tan x= -1 maka x=135<sup>0</sup> dan x=315<sup>0</sup><o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Konvers<font style=""> </font><font style=""> </font>: Jika x=135<sup>0</sup> dan x=315<sup>0 </sup>maka tan x= -1<o:p></o:p></font></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Invers<font style=""> </font>: Jika tan x tidak sama dengan <font style="position: relative; top: 2pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1094" type="#_x0000_t75" style="'width:11.25pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image104.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1094" drawaspect="Content" objectid="_1314520037"> </o:OLEObject> </xml><![endif]--></font>-1 maka x<font style="position: relative; top: 2pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1095" type="#_x0000_t75" style="'width:11.25pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image105.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1095" drawaspect="Content" objectid="_1314520038"> </o:OLEObject> </xml><![endif]--></font> tidak sama dengan135<sup>0</sup> atau x <font style="position: relative; top: 2pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1096" type="#_x0000_t75" style="'width:11.25pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image105.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1096" drawaspect="Content" objectid="_1314520039"> </o:OLEObject> </xml><![endif]--></font>tidak sama dengan 315<sup>0</sup><o:p></o:p></font></p> <p class="MsoListParagraphCxSpLast" style="margin-left: 75pt; text-indent: -18pt; line-height: 150%;"><!--[if !supportLists]--><font style="line-height: 150%;" face="Wingdings" size="3"><font style="">v<font style="" face="""> </font></font></font><!--[endif]--><font style="line-height: 150%;" face=""" size="3">Kontraposisi : Jika </font><font style="line-height: 150%;" face=""" size="3">x<font style="position: relative; top: 2pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1095" type="#_x0000_t75" style="'width:11.25pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image105.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1095" drawaspect="Content" objectid="_1314520038"> </o:OLEObject> </xml><![endif]--></font> tidak sama dengan135<sup>0</sup> atau x <font style="position: relative; top: 2pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1096" type="#_x0000_t75" style="'width:11.25pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image105.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1096" drawaspect="Content" objectid="_1314520039"> </o:OLEObject> </xml><![endif]--></font>tidak</font><font style="line-height: 150%;" face=""" size="3"> </font><font style="line-height: 150%;" face=""" size="3">sama dengan 315<sup>0</sup></font><font style="line-height: 150%;" face=""" size="3">maka </font><font style="line-height: 150%;" face=""" size="3">tan x tidak sama dengan <font style="position: relative; top: 2pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1094" type="#_x0000_t75" style="'width:11.25pt;height:11.25pt'" ole=""> <v:imagedata src="file:///C:\Users\user\AppData\Local\Temp\msohtmlclip1\01\clip_image104.wmz" title=""> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><!--[if gte mso 9]><xml> <o:oleobject type="Embed" progid="Equation.3" shapeid="_x0000_i1094" drawaspect="Content" objectid="_1314520037"> </o:OLEObject> </xml><![endif]--></font>-1</font><font style="line-height: 150%;" face=""" size="3"> .<o:p></o:p></font></p> <p class="MsoNormal" style="line-height: 150%;"><font style="line-height: 150%;" face=""" size="3"><o:p> </o:p></font></p> <font size="3"><br /></font>Mathghotichttp://www.blogger.com/profile/10822387615000317651noreply@blogger.com2tag:blogger.com,1999:blog-6250352102078784083.post-54175279154087304392009-09-08T03:42:00.001-07:002009-09-08T03:42:53.788-07:00Tugas PDM 1<span xmlns=''><p>Tugas 1 PDM :<br /></p><ol><li><div>Kalimat Pernyataan:<br /></div><ol><li>Semarang adalah ibukota Provinsi Jawa Tengah.<br /></li><li> Tidak ada bilangan prima yang genap selain 2.<br /></li><li>Titik adalah objek geometri yang tidak dapat didefinisikan.<br /></li><li>Unnes adalah PTN yang berada di Jogjakarta.<br /></li><li>Setiap mahasiswa mempunyai KTM.<br /></li></ol></li><li>Kalimat terbuka:<br /></li></ol><ul style='margin-left: 54pt'><li>X adalah anak kandung C<br /></li><li>X<sup>2 </sup>+Y<sup>2</sup><20<br /></li><li>Si N lebih pandai dari pada si R<br /></li><li>Jarak kampus FMIPA ke FE kurang dari X meter.<br /></li><li>X dan Y merupakan bilangan prima<br /></li></ul><ol><li><div>Kalimat perintah:<br /></div><ol><li>Belajarlah dengan rajin!<br /></li><li>Lukislah dua segitiga sama kaki yang kongruen!<br /></li><li>Pahami petunjuk ini dengan baik!<br /></li><li>Jangan melanggar tata tertib yang ada!<br /></li><li>Periksalah jawabanmu sebelum diserahkan kepada pengawas!<br /></li></ol></li><li><div>Kalimat tanya:<br /></div><ol><li>Apakah Anda mengerti?<br /></li><li>Mengapa dia tidak masuk kuliah?<br /></li><li>Dimana Anda tinggal?<br /></li><li>Kapan pameran lukisan diadakan?<br /></li><li>Bagaimana perasaannya ketika menjadi juara?<br /></li></ol></li><li><div>Kalimat Harapan:<br /></div><ol><li>Semoga dia lolos SNMPTN!<br /></li><li>Mudah-mudahan kalian sukses!<br /></li><li>Semoga Tuhan mengabulkan do'amu! <br /></li><li>Mudah-mudahan semester ini dia memperoleh IPK 3,5!<br /></li><li>Semoga Tiara diterima menjadi pramugari!<br /></li></ol></li><li><div>Kalimat Faktual:<br /></div><ol><li>adalah bilangan tak rasional.<br /></li><li>FPB dari bilangan 4 dan 6 adalah 2.<br /></li><li>Bilangan 2 adalah satu-satunya bilangan prima yang genap.<br /></li><li>adalah bilangan tak rasional.<br /></li><li>KPK dari bilangan 16 dan 20 adalah 80.<br /></li></ol></li><li><div>Kalimat Disjungsi Inklusif:<br /></div><ol><li>Rina mempunyai hoby membaca, melukis, atau memasak.<br /></li><li>Penyelesaian persamaan kuadrat x<sup>2</sup>-4x-5=0 adalah x=5 atau x=-1.<br /></li><li>Tuti sedang membaca buku sejarah atau novel.<br /></li><li>2 adalah bilangan genap atau prima.<br /></li><li>Dadan belajar berenang atau berolahraga.<br /></li></ol></li><li><div>Kalimat Disjungsi Eksklusif:<br /></div><ol><li>Ayah pergi ke Jogjakarta atau ke Jakarta.<br /></li><li>Tania mengendarai mobil atau sepeda motor.<br /></li><li>Zahra sedang tidur atau menyapu halaman.<br /></li><li>Bilangan 2 adalah bilangan ganjil atau genap.<br /></li><li>Annisa tinggal di Klaten atau Purwokerto.<br /></li></ol></li><li><div>Kalimat yang berhubungan dengan Kalkulus:<br /></div><ol><li>0,25 adalah bilangan rasional.<br /></li><li>Semua bilangan asli merupakan anggota dari <a href='mathghotic.blogspot.com'>bilangan</a> bulat.<br /></li><li>Bilangan real adalah gabungan dari bilangan rasional dan tak rasional.<br /></li><li>Cos2x=cos<sup>2</sup>x-sin<sup>2</sup>x.<br /></li><li>Bilangan rasional adalah bilangan yang dapat dinyatakan sebagai dimana a,b <br /></li></ol><p><br /> </p></li></ol><p><br /> </p><p style='margin-left: 54pt'><br /> </p><p style='margin-left: 54pt'><br /> </p><p><br /> </p><p style='margin-left: 54pt'><br /> </p><p style='margin-left: 54pt'><br /> </p><p style='margin-left: 36pt'><br /> </p><p><br /> </p><p style='margin-left: 54pt'><br /> </p></span>Mathghotichttp://www.blogger.com/profile/10822387615000317651noreply@blogger.com0tag:blogger.com,1999:blog-6250352102078784083.post-70013439720838879122009-09-07T02:20:00.000-07:002009-09-15T16:38:29.380-07:00<span style="font-weight: bold; color: rgb(51, 204, 255);"><br /></span><div style="text-align: center;"><div style="text-align: center;">SOAL LOGIKA MATEMATIKA<br /><br /><div style="text-align: left;"><span style=";font-family:'Arial Narrow';color:red;" ><o:p></o:p></span> <p class="MsoNormal" style="margin-left: 18pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">1.</span><span style="font-family:'Arial Narrow';">Kontraposisi dari pernyataan majemuk </span><span style="font-family:Arial;">p → ( p V ~q ) adalah ….</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></p> <ol style="margin-top: 0cm;" type="a"><li class="MsoNormal" style="line-height: 150%; margin-right: 55.55pt; text-align: justify;"><span style="font-family:Arial;">( p V ~q ) → ~p</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></li><li class="MsoNormal" style="line-height: 150%; margin-right: 55.55pt; text-align: justify;"><span style="font-family:Arial;">(~p Λ q ) → ~p</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></li><li class="MsoNormal" style="line-height: 150%; margin-right: 55.55pt; text-align: justify;"><span style="font-family:Arial;">( p V ~q ) → p</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></li><li class="MsoNormal" style="line-height: 150%; margin-right: 55.55pt; text-align: justify;"><span style="font-family:Arial;">(~p V q ) → ~p</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></li><li class="MsoNormal" style="line-height: 150%; margin-right: 55.55pt; text-align: justify;"><span style="font-family:Arial;">( p Λ ~q ) → ~p</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></li></ol> <p class="MsoNormal" style="margin-left: 18pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">2.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" > </span></span><span style="font-family:'Arial Narrow';">Invers dari pernyataan </span><span style="font-family:Arial;">p → ( p Λ q )</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">a.</span><span style="font-family:Arial;">(~p Λ ~q ) → ~p</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">b.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" > </span></span><span style="font-family:Arial;">~p V ~q ) → ~p</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">c.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" > </span></span><span style="font-family:Arial;">~p → (~p Λ ~q )</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">d.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" > </span></span><span style="font-family:Arial;">~p → (~p Λ q )</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">e.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" > </span></span><span style="font-family:Arial;">~p → (~p V ~q )</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 18pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">3.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" > </span></span><span style="font-family:'Arial Narrow';">Diketahui pernyataan :<o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';"><span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" ></span> I. </span><span style="font-family:'Arial Narrow';">Jika hari panas, maka Ani memakai topi<o:p></o:p><br /></span></p> <p class="MsoNormal" style="margin-left: 18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';"> II.</span><span style="font-family:'Arial Narrow';"> Ani tidak memakai topi atau ia memakai payung<o:p></o:p><br /></span></p> <p class="MsoNormal" style="margin-left: 18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';"> III.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" > </span></span><span style="font-family:'Arial Narrow';">Ani tidak memakai payung<o:p></o:p><br /></span></p> <p class="MsoNormal" style="margin-left: 18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">Kesimpulan yang sah adalah ….<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">a.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" > </span></span><span style="font-family:Arial;">Hari panas</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">b.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" > </span></span><span style="font-family:Arial;">Hari tidak panas</span><span style="font-family:'Arial Narrow';"><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">c.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" > </span></span><span style="font-family:'Arial Narrow';">Ani memakai topi<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">d.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" > </span></span><span style="font-family:Arial;">Hari panas dan </span><span style="font-family:'Arial Narrow';">Ani memakai topi<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">e.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" > </span></span><span style="font-family:Arial;">Hari tidak panas dan </span><span style="font-family:'Arial Narrow';">Ani memakai topi<o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 18pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">4.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;font-family:'Times New Roman';font-size:7;" > </span></span><span style="font-family:'Arial Narrow';">Penarikan kesimpulan yang sah dari argumentasi berikut :<o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">Jika Siti sakit maka dia pergi ke dokter<o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">Jika Siti pergi ke dokter maka dia diberi obat. <o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">adalah ….<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">a. Siti tidak sakit atau diberi obat<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">b. Siti sakit atau diberi obat<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">c. Siti tidak sakit atau tidak diberi obat<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">d. Siti sakit dan diberi obat<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">e. Siti tidak sakit dan tidak diberi obat<o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 18pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">5. Diketahui premis berikut :<o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 36pt; text-indent: -36pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';"> I. Jika Budi rajin belajar maka ia menjadi pandai.<o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 36pt; text-indent: -36pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';"> II. Jika Budi menjadi pandai maka ia lulus ujian.<o:p></o:p><br /></span></p> <p class="MsoNormal" style="margin-left: 36pt; text-indent: -36pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';"> III Budi tidak lulus ujian.<o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 27pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">Kesimpulan yang sah adalah ….<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">a. Budi menjadi pandai<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">b. Budi rajin belajar<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">c. Budi lulus ujian<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">d. Budi tidak pandai<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0cm 55.55pt 0pt 36pt; text-indent: -18pt; line-height: 150%; text-align: justify;"><span style="font-family:'Arial Narrow';">e. Budi tidak rajin belajar<o:p></o:p></span></p> KUNCI JAWABAN:<br /><ol><li>B</li><li>E</li><li>B</li><li>A</li><li>E</li></ol> Untuk caranya silahkan anda cari sendiri. Hehe........<br /></div> </div> </div>Mathghotichttp://www.blogger.com/profile/10822387615000317651noreply@blogger.com0tag:blogger.com,1999:blog-6250352102078784083.post-5708751215549657532009-09-05T07:04:00.000-07:002009-09-05T07:25:37.737-07:00<div><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjaOCys5YwLV8L1V2ke0W_ymw_350eDYpl2egFxdfyP1qO5ZSZw3E-A7dS8pERnrGWQTCVqaVFORq3ToXKVMf9_KkJDR_NhABnhFWW2-HOSfDUpJR3ckEsuK7fZvFMKGndj9U9OZFztvw4x/s1600-h/images.jpg"></a></div><br /><div align="center"><strong>Bermain dengan Dadu</strong></div><br /><div><br /></div><br /><div align="center"></div><br /><div><br /></div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCseaIFXoL8Td5aG8Gp533rf2TBc_fHkU3SMoCMJyJk_2NjAMe6JAMhJok66BCKFgDpCFvGTI2t84PWP5VQ5aQCrma9kKFCPAfqzpVIw4FGTbKmtelvFMUmKfo8cKMfZ7HRhQNXWm3VxRl/s1600-h/images.jpg"><img id="BLOGGER_PHOTO_ID_5377989187509191346" style="FLOAT: left; MARGIN: 0px 10px 10px 0px; WIDTH: 143px; CURSOR: hand; HEIGHT: 107px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCseaIFXoL8Td5aG8Gp533rf2TBc_fHkU3SMoCMJyJk_2NjAMe6JAMhJok66BCKFgDpCFvGTI2t84PWP5VQ5aQCrma9kKFCPAfqzpVIw4FGTbKmtelvFMUmKfo8cKMfZ7HRhQNXWm3VxRl/s400/images.jpg" border="0" /></a>Masih ingat kan <a href="http://magicstilez.blogspot.com/">trik sulap</a><a href="http://magicstilez.blogspot.com/"> </a><a href="http://magicstilez.blogspot.com/">joe sandy</a> pada pembukaan the master season 3, ingat?di waktu itu, <a href="http://magicstilez.blogspot.com/">joe sandy</a> bermain <a href="http://magicstilez.blogspot.com/">trik sulap</a>, matematika dengan alat-alat pendukung beberapa buah dadu, dalam permainan <a href="http://magicstilez.blogspot.com/">trik sulap</a>nya <a href="http://magicstilez.blogspot.com/">joe sandy</a> dapat menebak 3 angka dadu yang dilemparkan penonton,yaudah langsung aja trik sulpnya singkat kok,Sebagaimana yang kita ketahui, <a href="http://magicstilez.blogspot.com/">joe sandy</a> sangat indetik dengan <a href="http://magicstilez.blogspot.com/">trik sulap</a> matematikanya, tak ayal trik ini, masih menggunakan keajaiban perhitungan matematika,langsung aja stepnya:<br /><br /><div align="justify">1. Di awal show, katakan apabila anda menebak angka satu buah dadu yang dilemparkan, dan tebakan anda benar, itu adalah sebuah kebetulan. Jika anda menebak angka dua buah dadu yang dilemparkan, dan tebakan anda benar, itu memang sedikit mengesankan, tapi orang masih akan menganggapnya kebetulan. Oleh karena itu, katakanlah bahwa anda akan menebak angka 3 buah dadu dengan mata tertutup dan perhitungan matematis.</div><br /><div><br /></div><br /><div align="justify"></div><br /><div><br /></div><br /><div align="justify">2. Panggil seorang sukarelawan dan suruh ia melemparkan 3 buah dadu . Misal dadu pertama 6, dadu kedua 5, dan dadu ketiga 1.</div><br /><div><br /></div><br /><div align="justify"></div><br /><div><br /></div><br /><div align="justify">3. Suruh ia mengalikan dua angka pada dadu pertama (6 x 2 = 12)</div><br /><div><br /></div><br /><div align="justify"></div><br /><div><br /></div><br /><div align="justify">4. Tambah angka taersebut dengan 5 (12+5=17)</div><br /><div><br /></div><br /><div align="justify"></div><br /><div><br /></div><br /><div align="justify">5. Kalikan 5 angka tersebut (17 x 5 = 85)</div><br /><div><br /></div><br /><div align="justify"></div><br /><div><br /></div><br /><div align="justify">6. Suruh ia menambahkannya dengan angka pada dadu kedua (85 + 5= 90)</div><br /><div><br /></div><br /><div align="justify"></div><br /><div><br /></div><br /><div align="justify">7. Kalikan 10 (90x10 = 900)</div><br /><div><br /></div><br /><div align="justify"></div><br /><div><br /></div><br /><div align="justify">8. Tambahkan dengan angka pada dadu ketiga (900+1=901)</div><br /><div><br /></div><br /><div align="justify"></div><br /><div><br /></div><br /><div align="justify">9. Minta sang sukarelawan menyebutkan angka total yang ia peroleh. Yang harus anda lakukan, kurangilah angka tersebut dengan 250 untuk mengetahui angka dadu yang dilemparkan sang sukarelawan. Dalam kasus ini, 901-250 = 651. Berarti dadu pertama bernilai 6, dadu kedua bernilai 5, dan dadu ketiga bernilai 1.</div>Mathghotichttp://www.blogger.com/profile/10822387615000317651noreply@blogger.com0