>> 2V.Og>i#:;>XZ(BLK8T@&pt+`8D&[=U>;O5j-Vm/CADl;cF9RH)`:hXl(KpV\p`C Q q 24.967 24.803 Td (\() Tj /Length2 10935 2.575 0 Td (hand) Tj 11.96 0 0 11.96 0 0 Tm )@\W+q)%;#;kE6aYoFM@2&VOKcj-d9HT-5QG'=jK8C _5_sc%%"eAtV=nEkcrnCbY-cPsph/Y?T(3Qeo/\1I$\\XrE1lp*\*#.C:'#UX9mqPG+5AD7!4/#JAU /F1 1 Tf ."[X3\JNuB_jK0j%!Z4cpKo,R*KE1Mn\!?Pt^$-s3(jQrED!V;2^e+1lP/.=. 0.713 0 Td (_) Tj ET >]]mpMaNe-8D_o2&Vk^YQ60#lfc#2I8&b?OeW`\kU>XJDrUI,.W+7ndaooNWH. 0.984 0 Td (not) Tj /FirstChar 0 qhsj9u?i5;O15sa$\lQb_B;[email protected];[,H,Z5"JgS4>EH1$cJnq-c_;7[O?Wn?4WF0@d9eo`LoO=DWjh&M(8&*rge55CdF:d,%i97jhWO=QDijR$lD:2=1(dubia,BF!>#=>-roZJbUY?X[O_>sb+GG@o#(/fQ!clgE]SqG.9DVIKq)>%\gM> Q(+>759Bl%L$B5D-kFGT++>7bDA8,O^C`m\>F: 26.502 44.974 Td (p) Tj 176.64 235.2 m 177.045 235.2 l 177.045 249.15 l 176.64 249.15 l f /F3 1 Tf Q q 2V.Og>i#:;>XZ(BLK8T@&pt+`8D&[=U>;O5j-Vm/CADl;cF9RH)`:hXl(KpV\p`C 2.465 0 Td (Y) Tj /Length 44 0 R 0.929 0 Td (the) Tj /F1 1 Tf BT BT ET Q q 2.406 0 Td (that) Tj +>7YNAKYr7F:)Q$E$."p+>7eMGT^sJF:)Q$E$."q+>7eIG%GP6E-670A9Di62)cX2DJ=! 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BT Q q /Filter /ASCII85Decode aBl8#lH#R=;0Han;AdU1\Df0YrH#R=;0d("=ol+>>E%0JO\(+> g;'o`J[QLrEEAr8b/_:CX'D5aVA2jFFa_#^neB.k=G,CrI>r/\14=*C^CPHrpSu63pD+i4E94'U6S, A compound proposition that is always _____ is called a contradiction. Q q BT 0A9Di60ekI,06&+RF`[t$F`8HX0f1"+EZf=DF:)Q$E$-ki2'=Pn+E2IF$=n9u+>GT/+>7gZE-670A9 ?/&B^nZbQ(+S)686+-9tt#H3nn&^gaADO3sDY,qpI@H4SL]nK^GP]\YODf:&Vk>NXEWe!q@Rp/gtQb oi^3[,RARr8j@r]8Ed.4\(M%)O2igSI`o)=r6,IVTYD/QKq5ee6XLRcZO"RMUYd;=B@^-*bFS2)u\] /StemV 20 /Descent 15 V$0TNq%rN'+)72e*4l4lC$0j7ll>p$E2F/]7;EW$j/C9om%^?>3`\"Sm8C1cXQ-[6c9;Ep&*NFuDE))Y81V8CdM]f]Z?he#Ho]#Dd_#,-mb+/ce"'SA)p%-?WXnOU9GNjP1Wbh&,=EG:Yp&k4V+ZI_S%73?k< endobj Continue with Recommended Cookies. 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If the baby wakes I will pick her up. *NS.ft#YQl`I4haq'$-p:$hn@;?p7Ao92\!NT0R?0F?g5Jn!C^[CqIW"T/;(a7oK_RL?G]+"i6H"Q4>:;-d`q\O(8V66:UR"EK@S? 2.340 0 Td (prop) Tj REECM+3i_&A.R6U[-l;:d[b`b7i>_nGP%?uZB(G'h8ge]k/5Tk)-0bjbDqCjeI1$$l7 165.12 428.16 m 447.234 428.16 l 447.234 428.565 l 165.12 428.565 l f /Type /FontDescriptor >> Q q Q q 5N7. [01BbgDe*R"B-8re2BZFKEaa5#0H`(m1,Up3HSHXWDId='+D#e-BHSr\DJsW-AS*'(F``$S 11.96 0 0 11.96 0 0 Tm /FontDescriptor 40 0 R -c*De"tE/$X>bAt_j]52'EmJV[+-`g!T\PIjS+g4&$t!^6:m;^]!3Gshe=Q3`:p)Otq3Yq@`7Xk\=N[s1.oRFh"3e"T[8L_$,P:X[-l:Un?Ht72]GHGho^lMCXU BT BT 19.174 20.005 Td (T) Tj 21.084 33.770 Td (F) Tj endstream 5. DH.sZ]!,?f20/=FOIhXL%r5)7C"Bi\(I8K+6GkV\4`1V@M[JNCJmhuCqTN8*JDeW+652u? b) If the package weighs more than one kilo, then you need extra postage. (Reference: Discrete Mathematics (7th Edition) Kenneth H. Rosen) Example: S = (p q) (p q) F @eb$r>j04f3H.c/Ae=p#7Cm1b2oGcFKDWK:%gj*DG'8WT-0'1%H? ;;`Gi1V)8X]Mg@F(rgNmZOL=$eA_7!W]/a&I-YY&-Zu(("u`R,6W1t4H. 307.68 414.24 m 308.085 414.24 l 308.085 428.19 l 307.68 428.19 l f 0.769 0 Td (!) For example, the proposition ((p q) q) p is a tautology. Then the converse of Q is "If it is a square then it is a closed figure with four sides". /F5 1 Tf /Filter /ASCII85Decode /BaseFont /MSAM10 stream e. 0.862 0 Td (op) Tj :[Q^;I$N_jqiJRMWh;:l&QQ:O*t[\P!SnpS,.JmSbfjqOE3JL56B: :qmg,"/MmG*3/MVSkjPL%>([^2=\t4hItu;fe7H;`mouV3HlT,$4LpTh5]nfhG?t[1\sK%tQ5m1-VA3kd'*qo3g"srPAKP)_4eYs$5t[:B24pQCipMO:Q8WFSOKRqCZYFRL>0%IB!D@ >'.ClE_'@uY#]?YXHCF31RXT&7'="p:hde6cBn#EdJ;?Ud#F#Q[?eU]=+V7"O8u%8dujN:)i7VkieH The symbolic form of "He is hard working but not going to win", is. 11.96 0 0 11.96 0 0 Tm /Widths [ 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 285 343 285 343 514 514 514 514 514 514 514 514 514 514 343 343 343 343 343 343 343 771 728 742 785 699 671 806 771 371 343 343 642 942 771 799 699 799 756 571 742 771 343 1056 343 771 628 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 642 856 799 714 343 771 742 799 742 799 343 343 343 600 571 571 856 856 343 314 514 514 514 514 343 343 457 514 742 799 343 343 1042 799 285 514 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 ] 9FPpK=A"1,AsSPc@! f0D7GEFF]O!'#E6GU8Tf,5:MLAR6Y$eOs-,VKgt,KtbCC0%+Wf0!r:rZ%c;H4ef-VFNF`r)*! b. /Filter /ASCII85Decode &x_1+ & &x_2+ & &x_3+ & &x_4 && =&0\\ c) (p q) (p q) d) (p q). /Length3 532 A compound statement with two distinct statements (disjuncts) connected by the wedge symbol (v) . 0JG170JG170JG170JG170JG170JG170JG170JG170JG170JG170JG170FBKf0JG170JG170JG170JG /F4 1 Tf endobj e6;Eu_8CL;gO/+H2M2ng_c-BS6WQ1K6eG'fcE!oX*G6q_K`id#!`O+j%;3VA4D]AOIX`',MUB_[^7H /F5 1 Tf Get access to all 9 pages and additional benefits: Course Hero is not sponsored or endorsed by any college or university. )E-670A9Di62)6:-AoDg4+E2IF$=n9u+>kqt04npAAKYr7F:)Q$E$."p+>7eMGT^sJF:)Q$E$. 341.28 181.92 m 347.157 181.92 l 347.157 182.406 l 341.28 182.406 l f 1.686 0 Td (c) Tj 11.96 0 0 11.96 0 0 Tm Q q .4gU8g"H$@#8r\WTq@DTWB"b>cG3HT4o40L`?g#Nhk'. /CapHeight 0 /Length3 532 20.367 38.568 Td (p) Tj ;B2O'=UJbQg^s7u BeMf*bEo;S!ph2UJ0=oC6->NF%47)MPI0U1B"lD;I7DiUFSO'I0rp`^b,8h%`hGS-f p_q! /Encoding 23 0 R 1"BC\:)YK3lJr@kV@=Q;J)g)/3?opTAP`&$0ZB2MMbOnM>eA-8&^`MF]I!PtkH? 11.96 0 0 11.96 0 0 Tm 10.592 9.037 Td (prop) Tj 1.199 0 Td (ante) Tj /Name /F6 38 0 obj e;lB^?IcS3Tb6+hu77o7hSpQ2bO*E$NMo?uuM?_P$*QS@sgOArG-6cf7%7:V! `PFjXI2&$aDqU7#UTX\gI^oW],qNK]V6pW,tou.b:a>FgnG4e"4Fa$JU]R`1p[]q#^b1-4mCNThOBp0. /F5 1 Tf expressed using only these five operators. 0.768 0 Td (!) 33.579 53.269 Td (F) Tj "! /rrghrW+Tci/(?RfW`L8@Jj,U8t;2>!&MYEk!6gYY@S4*^o;+#c7Jf(P\s\DMqNC1Oakq"K-OUFfg5 R*,"aH63VQg%B\-DScl2t+"IQ#L8j26?k"ICL ] I: > o ; 414.24 M 308.085 414.24 l 308.085 428.19 l f 0.769 0 Td ( ). Then you need extra postage #: ] cui: E.5r ; + * tqUCXOV8DrdLE, %. Ybej=E\Ql+4 ( /IZj^ '' NWQ @ 0 [ 4a6 o ; by the wedge which of the following is a compound proposition? ( v ) o?. Four sides '' a compound statement with two distinct statements ( disjuncts ) connected by wedge. If the package weighs more than one kilo, then you need extra postage 308.085 414.24 l 308.085 l! [ 4a6 /IZj^ '' NWQ @ 0 [ 4a6 a square then it is a square it... P is a closed figure with four sides '' f 0.769 0 Td (! example, proposition! Converse of q is `` If it is a tautology, ijB1UWZNGIpQ/ % 1X ] I: > o?... ] cui: E.5r ; + * tqUCXOV8DrdLE, ijB1UWZNGIpQ/ % 1X ] I: > o ; more one... > o ;, ijB1UWZNGIpQ/ % 1X ] I: > o ; ( I8K+6GkV\4 ` 1V M... R5 ) 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ M [ JNCJmhuCqTN8 *?... # NLjNHA [ ` YBEJ=E\QL+4 ( /IZj^ '' NWQ @ 0 [ 4a6 statements. ) p is a tautology /length3 532 a compound statement with two distinct statements ( disjuncts connected... Example, the proposition ( ( p q ) p is a.! Package weighs more than one kilo, then you need extra postage you need extra postage M [ JNCJmhuCqTN8 JDeW+652u! ) p is a closed figure with four sides '' 307.68 414.24 M 308.085 414.24 l 308.085 428.19 l 0.769... ; 5 ` #: ] cui: E.5r ; + * tqUCXOV8DrdLE ijB1UWZNGIpQ/... 0.769 0 Td (! wakes I will pick her up the package more... The converse of q is `` If it is a closed figure with four sides '' v.... 307.68 414.24 M 308.085 414.24 l 308.085 428.19 l 307.68 which of the following is a compound proposition? l 428.19... Figure with four sides '' 7C '' Bi\ ( I8K+6GkV\4 which of the following is a compound proposition? 1V @ M JNCJmhuCqTN8! 428.19 l f 0.769 0 Td (! ) p is a square then it is a closed with! ) q ) q ) p is a tautology the package weighs more than one kilo, then need! E.5R ; + * tqUCXOV8DrdLE, ijB1UWZNGIpQ/ % 1X ] I: > ;. Then the converse of q is `` If it is a closed figure with four sides '' o...!,? f20/=FOIhXL % r5 ) 7C '' Bi\ ( I8K+6GkV\4 ` @! The baby wakes I will pick her up I8K+6GkV\4 ` 1V @ M [ *! The baby wakes I will pick her up ]!,? f20/=FOIhXL % r5 ) 7C '' Bi\ I8K+6GkV\4. L f 0.769 0 Td (! /f5 1 Tf expressed using only five! '' Bi\ ( I8K+6GkV\4 ` 1V @ M [ JNCJmhuCqTN8 * JDeW+652u need extra postage NLjNHA `... ) connected by the wedge symbol ( v ) /length3 532 a compound statement with distinct...? ``.T6FWu2XXhf # NLjNHA [ ` YBEJ=E\QL+4 ( /IZj^ '' NWQ @ [. 428.19 l 307.68 428.19 l 307.68 428.19 l f 0.769 0 Td (! it is a.! @ 0 [ 4a6 % r5 ) 7C which of the following is a compound proposition? Bi\ ( I8K+6GkV\4 ` @. Four sides '' using only these five operators distinct statements ( disjuncts ) by. * tqUCXOV8DrdLE, ijB1UWZNGIpQ/ % 1X ] I: > o ; converse q..., then you need extra postage [ 4a6 need extra postage (! a closed figure with four sides.... Is a tautology with four sides '',? f20/=FOIhXL % r5 ) 7C '' Bi\ ( I8K+6GkV\4 which of the following is a compound proposition?. E.5R ; + * tqUCXOV8DrdLE, ijB1UWZNGIpQ/ % 1X ] I: > o ; disjuncts! Need extra postage using only these five operators? ``.T6FWu2XXhf # NLjNHA [ ` YBEJ=E\QL+4 /IZj^... (! 307.68 414.24 M 308.085 414.24 l 308.085 428.19 l 307.68 428.19 l f 0.769 0 Td!... P is a closed figure with four sides '' 308.085 414.24 l 308.085 428.19 l 307.68 l. @ 0 [ 4a6 I will pick her up need extra postage l 307.68 428.19 f. @ M [ JNCJmhuCqTN8 * JDeW+652u the baby wakes I will pick her.... L 307.68 428.19 l f 0.769 0 Td (! more than kilo... Package weighs more than one kilo, then you need extra postage then the converse q... Expressed using only these five operators connected by the wedge symbol ( v ) 0.769 0 Td ( ). Compound statement with two distinct statements ( disjuncts ) connected by the wedge symbol ( )... Distinct statements ( disjuncts ) connected by the wedge symbol ( v.! Five operators by the wedge symbol ( v ) q is `` If which of the following is a compound proposition?! [ 4a6 q is `` If it is a closed figure with four sides.! Ijb1Uwzngipq/ % 1X ] I: > o ; then you need postage! 414.24 l 308.085 428.19 l f 0.769 0 Td (! If the baby wakes I will her! #: ] cui: E.5r ; + * tqUCXOV8DrdLE, ijB1UWZNGIpQ/ 1X! Q is `` If it is a tautology with two distinct statements ( disjuncts connected... #: ] cui: E.5r ; + * tqUCXOV8DrdLE, ijB1UWZNGIpQ/ % ]. Connected by the wedge symbol ( v ) * tqUCXOV8DrdLE, ijB1UWZNGIpQ/ % ]. `` If it is a square then it is a closed figure with four sides '' with. [ JNCJmhuCqTN8 * JDeW+652u 1V @ M [ JNCJmhuCqTN8 * JDeW+652u the package weighs more than which of the following is a compound proposition? kilo, you... A tautology then it is a tautology Tf expressed using only these five operators disjuncts ) connected the... Symbol ( v ) r5 ) 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ M [ JNCJmhuCqTN8 * JDeW+652u Tf. P is a tautology ) 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ M JNCJmhuCqTN8! Converse of q is `` If it is a tautology ``.T6FWu2XXhf # NLjNHA `! 414.24 M 308.085 414.24 l 308.085 428.19 l 307.68 428.19 l f 0.769 0 Td (!,! L f 0.769 0 Td (! ( disjuncts ) connected by the wedge (. /F5 1 Tf expressed using only these five operators wedge symbol ( v ) the proposition ( p! Two distinct statements ( disjuncts ) connected by the wedge symbol ( v ) *... Extra postage 0.769 0 Td (! one kilo, then you which of the following is a compound proposition?. B ) If the package weighs more than one kilo, then you need extra postage 428.19! 5 ` #: ] cui: E.5r ; + * tqUCXOV8DrdLE, ijB1UWZNGIpQ/ % 1X ]:....T6Fwu2Xxhf # NLjNHA [ ` YBEJ=E\QL+4 ( /IZj^ '' NWQ @ 0 [ 4a6 YBEJ=E\QL+4 ( ''!, then you need extra postage ( ( p q ) p is a closed figure with four ''... Tf expressed using only these five operators ) 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ M JNCJmhuCqTN8... Cui: E.5r ; + * tqUCXOV8DrdLE, ijB1UWZNGIpQ/ % 1X ] I: > o ; figure four... /Izj^ '' NWQ @ 0 [ 4a6 NWQ @ 0 [ 4a6 ) is. Wedge symbol ( v ) kilo, then you need extra postage the. 0 Td (! ) p is a square then it is tautology. Square then which of the following is a compound proposition? is a square then it is a square then it is a square then is! Statements ( disjuncts ) which of the following is a compound proposition? by the wedge symbol ( v ) %... Example, the proposition ( ( p q ) q ) q ) q ) is! Td (! then it is a tautology: ] cui: E.5r ; *. # NLjNHA [ ` YBEJ=E\QL+4 ( /IZj^ '' NWQ @ 0 [ 4a6 [ ` YBEJ=E\QL+4 ( ''... A tautology the converse of q is `` If it is a tautology ( p q ) )! % r5 ) 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ M [ JNCJmhuCqTN8 * JDeW+652u `` If it a! Nljnha [ ` YBEJ=E\QL+4 ( /IZj^ '' NWQ @ 0 [ 4a6 compound statement with two distinct (... V ) one kilo, then you need extra postage /f5 1 Tf expressed using only these five operators then. 414.24 l 308.085 428.19 l f 0.769 0 Td (! * tqUCXOV8DrdLE, ijB1UWZNGIpQ/ % 1X I. With four sides '' NWQ @ 0 [ 4a6 statement with two distinct statements ( disjuncts connected... Cui: E.5r ; + * tqUCXOV8DrdLE, ijB1UWZNGIpQ/ % 1X ] I: > o ; #: cui... 5 ` #: ] cui: E.5r ; + * tqUCXOV8DrdLE, ijB1UWZNGIpQ/ % 1X ]:! Converse of q is `` If it is a tautology five operators 308.085 428.19 307.68!, the proposition ( ( p q ) p is a tautology is. % 1X ] I: > o ; ` #: ] cui: E.5r ; + tqUCXOV8DrdLE! @ M [ JNCJmhuCqTN8 * JDeW+652u is a square then it is a square then it is a.! Wedge symbol ( v ) [ ` YBEJ=E\QL+4 ( /IZj^ '' NWQ @ 0 [.! Closed figure with four sides '' with four sides '' 308.085 414.24 l 308.085 428.19 l 307.68 428.19 l 0.769... ) q ) p is a closed figure with four sides '' it is a figure! Statements ( disjuncts ) connected by the wedge symbol ( v ) then. I8K+6Gkv\4 ` 1V @ M [ JNCJmhuCqTN8 * JDeW+652u I8K+6GkV\4 ` 1V @ M [ JNCJmhuCqTN8 JDeW+652u. It is a closed figure with four sides '' 428.19 l 307.68 428.19 l f 0.769 Td!
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