which of the following is a compound proposition?

ET Ab#g6Dn#-[U=^&4j.Q9nDUY,53e2C7Ib;io5;Wrq^]DFduZ0,5OE0sd]?nAMkAqI(K4c+[#8Ns\kk8 PDFs for offline use. We take free online Practice/Mock test for exam preparation. Each MCQ is open for further discussion on discussion page. All the services offered by McqMate are free. 0.769 0 Td (!) We call such a table a truth table. /F4 1 Tf 11.96 0 0 11.96 0 0 Tm 1.850 0 Td (quent) Tj 9A@nFB.EI@Qi=h6VL_)h(4nc>,^g1UH]Qg7aTkC\Uen'O4L!t. 0.491 0 Td (.) 3.766 0 Td (then) Tj ]Pf[nTEhIMh4='dBX@uBNe?JSG=S68Hdi'0`rH` Suppose, at suppertime, your mother makes the statement If you eat your broccoli then youll get dessert. Under what conditions could you say your mother is lying? Q q a) Either you leave or I do. 3.503 0 Td (of) Tj /F1 1 Tf aBl8#lH#R=;0Han;AdU1\Df0YrH#R=;0d("=ol+>>E%0JO\(+> /Type /Font "fa8W-KT"`_R@ooS=Y*D/BhZ4en2[,hZr@7igr^H+cn ET 11.96 0 0 11.96 0 0 Tm 28.844 55.685 Td (e) Tj (Reference: Discrete Mathematics (7th Edition) Kenneth H. Rosen) Example: S = (p q) (p q) F Wittgenstein, Tractatus Logico-Philosophicus. ]C4cI1I1Kq'i7o9FF3Z2h2kOBKdEWi<4p!4Q=;VspMsWR)aZ /F5 1 Tf E$. 18.828 36.169 Td (T) Tj q@W:8>tE2+CLaAFj2eQq(PToh%j#bU36b!Gn>_kbo\._K-1sWi0G0.Z!U_P]"CjIGrU`&+ntd(Pjomog&+rCa"_7eZaegu+N8ed(`3_LR e;lB^?IcS3Tb6+hu77o7hSpQ2bO*E$NMo?uuM?_P$*QS@sgOArG-6cf7%7:V! 1.985 0 Td (osition) Tj /F4 1 Tf endobj hdk5]Yap"ZReWN5?O(mk$Qk;[,D:ts%ap4[NbX]\X`9s+dKbNr,F^eHBeH1DYO2H12>ij^K@? 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Q q /F1 1 Tf 0.381 0 Td (q) Tj 1.428 0 Td (OPOSITIONS) Tj 0.929 0 Td (the) Tj C'GPM7!+p.tCYcJA9=)!D8Ql%qaR`F26ealj+P+aaHCjCCKLiZ&>r2P_BUs[-,g/)dQZ;:ar8=BnuS \oW-\&cXFb!H53'QX'Fsl8A(nE=,SV(kLEQrN>Y)H! /Outlines 2 0 R ET 1.713 0 Td (t) Tj M3)! s#7,)t+4QL`N[Tb+X8T/\)S0JUZAl(:sOuX_$?uGi?jEfrUMfgnp1`B4gA[Zmck'pL+U9o@#QOaD3_Dn\/qM]sMu'KXVYmTGnmok6sL+X_W!GV0DF$an %ajo9FQmWC(AMh8aC? 0.792 0 Td (is) Tj 11.96 0 0 11.96 0 0 Tm False: c. May be True or False: d. Can't say: View Answer Report Discuss Too . >> Q q /Subtype /Type1 '8%P 17.554 54.468 Td (T) Tj mt+BS$j`;2)iX`PW!b6Ua"fjG:)c8[(^+=4)8r!52ePpZ5l8V2A1&?YDfqiO;f%Yi/uZjliBtF(9$] _;!S/PV,`c=H=1noPi_56\JtLB-ZT\h]BBoLb5h"dVg(8h2AMO#f.HVdn"Ur[;WJK'[?9=!)<7XR;! stream Q q rWd80hAHX&SRZb%5H*Ch'1Ca*p(DH$=O^@8bd0.Q"l`T-4?F4gcRLqNDSsT_bhEbTuBQJ&iF3:+MhK(@mQE(#j0ML[Iur[(J4rM]4+iCA(0D Q q Example1: The following statements are all propositions: Jawaharlal Nehru is the first prime minister of India. .3OYY9W$XkkG:4oQ^>,38a9,4JL,LC]T)nnF"PHKDq k?GoNV@ajr24l6b]H-5\h_@k1DA&CYUL!*8\)@oPCkXHo$ME>k!db^;f^P>]TmRo#? ;;`Gi1V)8X]Mg@F(rgNmZOL=$eA_7!W]/a&I-YY&-Zu(("u`R,6W1t4H. +0d&2*0Jah12)'H!ART+fDJXS@A7]?[03)n(EHPhp=qZf'aKc;P? 2.519 0 Td (truth) Tj 194.88 235.2 m 195.285 235.2 l 195.285 249.15 l 194.88 249.15 l f AS*'(F``$SAoD\sA9Di60fCa/01TGfD.+Q+F`[t$F`8HX2DQC.6tL1V@3BN3F:)Q$E$-kn1E\>MBOu 7?r+85t+n#S#?,ob?__@hr)c!r^S9*$BAZgS3QJ/uC^7kH;V_PCRJCW#oK;8$Oka3qiF@/lV!`lP_0 ;2F`[t$F`8HX2`Mp5AT &Kn\fFCY? aX. nm5p33R*%j9sVNP:C]*b&crr(d'b,WjC>neG9'E:)ZfO$M+\if+#J'L9[-MfQ. .3OYY9W$XkkG:4oQ^>,38a9,4JL,LC]T)nnF"PHKDq 40 0 obj Example: I will stop by to visit only if I have finished my homework. @Eo^Oo5in0`&Q=Nqu8*WrrCf[8kPTDF%Tq9)ecbWW`g-V;Y2K[,ic4oX2\A;-NP#:uhc,l%Kq5RBnM 1.985 0 Td (osition) Tj ^Q8+NK>(qopHZ2`d]&c)p[+[i#s2o5b`k=LO`MMK,kY8E:l()Lgs@BD\Treddi0\f=3_f%_K&Zi'g/2? ,nSlg\V:hs5AqBEs?+_p]U-)Oq9K@Tp2%sjWR;COLV9XZ7mF:Icf7,VFkrYK[I*N_&Z>kg4PP.=1_9 11.96 0 0 11.96 0 0 Tm Q q >> ET *DKcUOF7rAi.,Zu,=`eE&n&,B`N>Cn!i]];nBIEo^0-UCY,GZr*G9X\td-eM endobj 1.338 0 Td (tence) Tj 1.568 0 Td (instance) Tj It is a premature claim that cannot be verified or falsified. 22.764 44.974 Td (p) Tj #O"kTYFT5K\d533\qeX/>R&;mQNWb4TN`Vs'(c!1-mWHs5@m^VY=9DdRX_VMF)FT8_i ET Q q Q q *`,piq&FJ"(&+Y;8 PkPe*!O;ZGZE@,m3ZLHhSLO9O;8iCscRKU&m,l8SY+^Ns<8.FKK%p7q]FH?M-!jgOL(VEScTgd>?6Rp$7.,dk>j TLE/9[d"mS._5t:8asu[CklKl'1. QbpWldgAmA7hsqN:Z[+h-UWTNqLE2+pcL_7gb-;J1f%apJM@'J>BD?V*1$f:5/H6Go7":2f4RgsT:c 345.12 604.32 m 345.525 604.32 l 345.525 618.27 l 345.12 618.27 l f endobj 11.96 0 0 11.96 0 0 Tm 20.546 40.836 Td (examining) Tj Q q @IcUn,]UE\T[>1SplYbX$F$dfU*$o;oLe$k_rF*+VO#rhX#5fI2+pghrRY4q\"fcK+-sQNSEBe7(YUcAkZaSjge>,>Okdh5/4kQS"OG:rfX5E 0.558 0 Td (or) Tj 0.843 0 Td (and) Tj After all, she only outlined one condition that was supposed to get you desert, she didnt say that was the only way you could earn dessert. >B,_$RE='p&4_*pTmghnF)4?H`lt8]:7Z;Spi8-XE$Pt%;YkV1kDUnJln7XFmU=8 1.196 0 Td (c) Tj Fbj/GY2Gm2cQTUe0GVHHc0-%0peL5tIV:U5/2$,T*cpRIYH+9t04R 3.188 0 Td (q) Tj \N(D_Hh3>G.&sR /F1 1 Tf %^h!@Wq7dq?,\kiDs_^jR/&DZf/? BT 0.400 0 Td (onditional) Tj qgOh%K9fTX)8Li!UC3g%J\b@2-:]`a/n[QF_U[62,c/"/Z?/FLrUQsLO,Rq$kpHSV\&FUa#6d"P"*= ;;`Gi1V)8X]Mg@F(rgNmZOL=$eA_7!W]/a&I-YY&-Zu(("u`R,6W1t4H. 12.091 31.468 Td (Example) Tj K(G'3gER/!JL^^SWC,G]%iZJgk(Qq736B_1"6?R@fldOj9cK_Rflms!2!j6_k>O>5_5Z2=lIJ>X7Mc lC.$4Y()"tVDZdHf\B7erWr.GVh6OPC[*(XJY80>qL,aK'7mo^>_]a. Also, we can see that if two lines form a right angle, then they are perpendicular. 22.556 21.205 Td (F) Tj -hJnrn+?H"kXR[EhYd-'TUP'e(. 32.669 33.770 Td (T) Tj 32.669 36.169 Td (T) Tj 11.96 0 0 11.96 0 0 Tm ,p?)`/O..3NYB@:X:oCj@.6AS)9&:2b5g@q?c26Z6phEbT0"FdART+fDJXS@A7]? "+E2IF$=n9u+> AS*'(F``$SAoD\sA9Di60fCa/01TGfD.+Q+F`[t$F`8HX2DQC.6tL1V@3BN3F:)Q$E$-kn1E\>MBOu ?KMr[)5;DXJD,hVGS$e/MKIna;5JW"!XL^nVG!W?Z#dMRr9G)GjUg:H*!d?! L=_(HrX/erPjpcR*U!,hPOMrBlMc^e-D6&[,M1Lj]l5nm``XQ?9g]Chf#1C!1C&8QbhN-)^_^bLOHh "c)0;p+i"7V#rJLB:.>jVlclII/\/)Q0nA_Q^e*[#Kolj,Ut0VPrFLnE[,fg$p;- 36 0 obj B. 1.878 0 Td (q) Tj O3knRU-6YI5Cj%\lQu`O(c@L/T1W$HcA4oe+q=!`>'NH>>kMnYUQ>1=#4r):. /Differences [ 32 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /therefore /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /precedesorcurly /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /orunderscore /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 128 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /squaredot /squareplus /squaremultiply /square /.notdef /squaresmallsolid /diamond /diamondsolid /clockwise /anticlockwise /.notdef /.notdef 174 /harpoonrightleft /squareminus 177 /forcesbar /satisfies 180 /dblarrowheadleft /dblarrowleft /dblarrowright /dblarrowup /dblarrowdwn 187 /harpoonupleft /harpoondownleft /arrowtailright /arrowtailleft /.notdef /.notdef /shiftleft /shiftright /squiggleright /.notdef 199 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 216 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 241 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef ] '?%(gr;2`:;`C:Ol,uL!AV@8u7^nAbbV.WoOC*f! 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Which of the following is not a proposition? /F4 1 Tf 9L2*L-'u&._O+%!p[onK_qdOK$Mp"^RsJ(SL;^]@ka5!CRmCt2"k'cp,_pe&Xgi5j'f)XNB!0[n? It is neither true nor false.b. /F1 1 Tf /Name /F5 ). IUirn+N=MD@39'*Y[=Z9oQdLHn-GM'8Xqe(J;g/@eOOq"SgdtT=@!.6?U<4SpI+-F+08_4(V^XsB-H;eLHE6 /F1 1 Tf 2MnP-U4&$G/lYd]1<69D&Hn@TM]aBRZ;8I!`/n=^.h46X;L`U*>7/Wks5mKCWo8:Z:KPZC>CYnm Allow Necessary Cookies & Continue "3JWLo_r2Lk+*tSI3) endobj stream Q(+>759Bl%L$B5D-kFGT++>7bDA8,O^C`m\>F: /Type /FontDescriptor d@9ALCC?Hp((a@lm:Lk(/Et+.b?rLJr5EcW._M6PMdr]94q,++.t&d6N2T=PNa)EB7j&]+]Be>u&uZ*d:e1/H#f;^kO8>]][ZWW,`VJsj74a9"cX+)]N'3&qB%V$E%d& 40 0 obj /F1 1 Tf /Name /F5 ? /Filter /ASCII85Decode BT BUYTj>`RNfY5`LS`tD3r6o!^2`ondTS:]N^[>YjlqVn`up!,,.X`-"=@6iASY\KPHMO?C+(9FeDGN] p@n:kpib6utY@QpN@&jC-&V[T*lVp#i[+ChPD"LEV)TPJ6nMN' ]b!1o"(JGKTsk^c1nGq5]($0So1sd *NS.ft#YQl`I4haq'$-p:$hn@;?p7Ao92\!NT0R?0F?g5Jn!C^[CqIW"T/;(a7oK_RL?G]+"i6H"Q4>:;-d`q\O(8V66:UR"EK@S? Proposition is a declarative statement declaring some fact. ."[X3\JNuB_jK0j%!Z4cpKo,R*KE1Mn\!?Pt^$-s3(jQrED!V;2^e+1lP/.=. Example: Pizza contains all the basic food groups if, and only if, you get it with anchovies. TsTa\R++(D;(AfB;YcJNiuon;gZ_R*btW4l@UVmP.==.2kM^C4B]XN5/R(KYrG[K\5dOI!mq'6+VSG ^%NnC5gL39,9BRk*FHN;H/gkZQH@FSX;=R\2^f$].m52lmclS(WRM$n-KqBG(cfCGR9fFn?D-6- >> /FontName /CMSY10 endobj [TLS0 /FontBBox [ -34 -251 988 750 ] XP1Dkh-@*-``P! >> 1.1.10: Classifying propositions is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts. 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