which of the following is a compound proposition?

11.96 0 0 11.96 0 0 Tm Q q 1"BC\:)YK3lJr@kV@=Q;J)g)/3?opTAP`&$0ZB2MMbOnM>eA-8&^`MF]I!PtkH? 0.959 0 Td (true) Tj V.h/ZP\e_>PR?P$I1dg$8H`'@O3Oa!eXPnZ_'2/\"L#Og0B 21.618 24.803 Td (q) Tj Uh/hk+jNc#-Balf^%-U6+BJL?`nh!t[JNHV6m]JsVP#k!DmP.&/c1#hM5Mk#D`?NoOBHa]='Ukohg_ [d0VObI-e$m#,fmlQph\!bn>JiA5%#N_FJd=AM\mNXn TH9\sa2s7cgMl;c(JZo0U\j/W:)Fb]fV8SoP'uBH 1Rl7?/;]&a?I9Vn$3GT[DP. ]]5a)[MkanG1Gbc,,p%l^RB5/LBBAJn4DtH[ 3.883 0 Td (equiv) Tj N!IHNfu4bho4ANe54,PNTa1?=uKOJ[u96:/hiBEO(!.%j\tA! :qmg,"/MmG*3/MVSkjPL%>([^2=\t4hItu;fe7H;`mouV3HlT,$4LpTh5]nfhG?t[1\sK%tQ5m1-VA3kd'*qo3g"srPAKP)_4eYs$5t[:B24pQCipMO:Q8WFSOKRqCZYFRL>0%IB!D@ The compound propositions p ~ q and p ^A -q have the same truth value when (a) P is true and q is true P is true and q is false: (c) p is false and q is true. \>.3b"_H+=ETC[Ia`G-UW]8]u0Rl"\r.q^*Xh'5d;GVl_bGVn6nZ.Xu#pu;==8bq>hU7FMh)LZ>Xqu;Qd*IEFbmp=_Cq$'uEf#K=K$g>I.MZU$il@%RR-RmnJTimmtX-Y>\%?qJFGM%1r[$Yad`rcJ9;)=O] HcgL^LhRJDnTLG4+FdWM^GZt5EWm$71TY@H``\>r/h2t#O=+;7#D,n%":,P Q q ET E*@L#ELTJlG"Ae7FOHt_-P$D/mCH-O[%hc0jD3@^X23B7T#i$9uX:rRoMB12%>%b#c@,6>/O`W0W!k /StemV 20 /ItalicAngle 0 << :7&:J!lU($\a*M;= )&Xa7,8CRi`ASh&W'GL*P"`Q0Io;? 11.96 0 0 11.96 0 0 Tm 10.592 9.037 Td (prop) Tj E9uB]?2&X.IY\PMZ%0[Sc'A^,6TeJ@S#q^$uDXT,I:7r?+_`J,i%A,"NqpFi BT ?Tl%E")uOUmHu!.%tR@M@Wep0C!m.CLgjA6Wu.g&Dk&K5ohsKU>e0A9 9+/F2^).rCRdY`b`V<>'!Pu_Y6p(Mb@?.k-@@(fng"bF3iD-n@d"O8[.JmYt_GkVPORcJJ4WW;^1j! !FIjm<6SNEKF\`,eQW;ND#aNuh %f:+f`1O`&nq-i _7OnJL.DTbA8mCAdLqgehNccY")'T8@aY=JMBCQXd.NmAe&=`c[K!8en=\WqZLb5\p SL<78"FlH5`-XTBC1UG61X4SXUkT)Sh"OeQ!kEN1c,$Y4DXX? =Ch1#3oL+3`17f999]@_Ig^^oA2gT@_7+On>a6*,N.S:&nFj0VC](hQ\o;gQrGc1.Q>(E%UfPAV#u) 2IF$=n9u+>GT)+>7UTE-670A9Di60ekC*05htPF`[t$F`8HX0esk)E$0+BF:)Q$E$-ki1E\>j+E2IF 1.985 0 Td (ositions) Tj Df0B:+Co%q$84hc@rGmlDJ((I2)ZRcEcPT6$8Pf3+F>gcBl7HmGT^RB@qZuGc/+>7eUF^]i6F:)Q$E$-kn2]sbaBjkjsDIal/F`[t$F`8HX2E2g4A8,IhDf0*,Des,u+E2IF$=n9u+>Gc7+> /F4 1 Tf /Subtype /Type1 29.081 38.568 Td (p) Tj 0.400 0 Td (onclusion) Tj Q q 207.84 468 m 213.717 468 l 213.717 468.486 l 207.84 468.486 l f a5Z?".T6FWu2XXhf#NLjNHA[`YBEJ=E\QL+4(/IZj^"NWQ@0[4a6. E:SZo,G16u5? "+E2IF$=n9u+> /FontBBox [ -39 -250 1036 750 ] 28.480 21.205 Td (F) Tj /Length3 532 ET /Ascend 0 38 0 obj h\e_Jg?JIW>tX]Lrn>o#kX=:k#K.B4.CHolj,daV]9B,Y0ds2gdu,"MCiHi$a;8c#SeFo=IYcEeE+- 9Rus]X'qKVQALaRA_aZ)*^J[J!4;=at4OHO")\GlZs)rotn!^]`]`k"E4\/l $$. IIWU_XO!qGAf\I&Fkj;Ka8qtd3H'Edcqj%,aKp;b/,R8kNk[r^Q`0 /F4 1 Tf BT 3.158 0 Td (an) Tj 26.859 33.770 Td (T) Tj 1.285 0 Td (the) Tj i,79qbf'9m[66G3AOPg=OChME?:X? The Three basic logical operations conjunction, disjunction, and negation which corresponds respectively. BZd7'P7jW=up[N.3NYB@:X:oCj@.6AS)9&8T\BWBk'GHB5D-%0Han;AdU2*F%0kgARnVOF Q q O=LHC2`Ok'J0@[JZ-;j:;I#,";h,l>0#.&jVV)gK&c;@qq:71W?uuD>2qZa&g!\/h7R`r7/8$ `8HX0fL4.FWbXGF:)Q$E$-ki3$9kt+E2IF$=n9u+>GT2+>7p]E-670A9Di60etF*06eUYF`[t$F`8H /F1 1 Tf =HHTs?<0l3&4)AucOtoIWob=C(@6j\RD':d`$nX[5q8ZpT'+9k)a`'De%4ZS54D7h"R^"eJ(Y)t7HI Q q /CapHeight 0 S&IPT'F5p;$CT\I3RXM+WWgWQmo^VuS2mMF!3Tj)F"jGI?6C>eT[^>`6ah1]r=N`?LQsPln N!IHNfu4bho4ANe54,PNTa1?=uKOJ[u96:/hiBEO(!.%j\tA! 273.12 456.96 m 273.525 456.96 l 273.525 470.91 l 273.12 470.91 l f /StemH 20 Example 2.1.2. p^:p Definition 2.1.3. /F5 1 Tf Proposition. 2.269 0 Td (not) Tj [aiY=G(;jY%R[A^\>X*KV/TW,&!h59utb"Lc^nam0C+EIistfY$)$1S.K'5Ck",L7snu/r*! )XC4Hr,Z,(/mEJ)[#>O"VLtAu&BsEXX1!pc4(-(ALVWb`nXd1g4nYb Q q 1.985 0 Td (osition) Tj -19.038 -2.614 Td (Again,) Tj ;jGAM1u%!G\X9,JXAVl5;'LO8l';#oDrAnMAsc,^DS9C_gJYGmC;8BYF;%n$j[>TMCZs6lVgHjh^ML 0.999 0 Td (from) Tj << /F4 1 Tf Q q ]b!1o"(JGKTsk^c1nGq5]($0So1sd ET 2.315 0 Td (Illinois) Tj /Type /Font /Filter /ASCII85Decode << Y=)F,WjPX=NUflWRP\L7t4N7@6q2>4*&cONZMRXU>]<5#B>d%hs@[MaU!`/iZ 9+/F2^).rCRdY`b`V<>'!Pu_Y6p(Mb@?.k-@@(fng"bF3iD-n@d"O8[.JmYt_GkVPORcJJ4WW;^1j! #_-VP`L7#&4>&_Kb[H? ET (TZXk,%2,=oSE e2sP%&Z1V(_f76T^3+-IAk,R8h">`-;IR/2Q/?&-XbS^]fHYGYT+qL>`NKHh#IE=9j#?W_#*=0o1CRK9Ke`EP(gk-^L( O0670+;rE'c!1G%nD"?->%n5nsE8QI=8^Oj@,6AC>X=ML%8Q$?coPF_+/cl1lddnn['%t.i)ZoPVD3Ee8WtEmj) 11.96 0 0 11.96 0 0 Tm !0RX4C5%!hL51^b8H9(+)g\hV8Tn,(eqB[0)WrK,HX$tX[NL2Y@7]D,='*^J+\gqt\ik,)l >'.ClE_'@uY#]?YXHCF31RXT&7'="p:hde6cBn#EdJ;?Ud#F#Q[?eU]=+V7"O8u%8dujN:)i7VkieH /F5 1 Tf +j/I[FTEp;^49ca35!WhAmgk`hO=paPhUgJqZ2+#hd5+M+mO2XSJG0>osWJ)@[YH[*\DA;.F/M%Q)08:5CJJ-,fIZBu7/45F%$@RM#V:i0\Oor#c"h>?M,"4E+VdS? Dg,Z/FD)e9F`[t$F`8H[0d&,XEcQ)BA7B@qBkM+$+E2IF$=n9u+>bnt04AmADg,`$Cgq=)BHV8:F:) nn+AN=kc:W-\k3RoOuZ*I(sb]/FO Q q .4gU8g"H$@#8r\WTq@DTWB"b>cG3HT4o40L`?g#Nhk'. DH.sZ]!,?f20/=FOIhXL%r5)7C"Bi\(I8K+6GkV\4`1V@M[JNCJmhuCqTN8*JDeW+652u? ;_l%ngb\EuBqH6l"3F+;m:$H)[I4<5CO1l?e4cb&3AIlcPE*YB These compound statements are true if both component propositions are true or both are false: Consider the statement: "Two lines are perpendicular if and only if they intersect to form a right angle.". 2.161 0 Td (_) Tj Software Testing and Quality Assurance (STQA), Information systems and engineering economics, Answer D. the only odd prime number is 2. ae/Pm#Ei8C$"2J><8i$BZ9s.hIihen@'5FYH! 7eIG%GP6E-670A9Di62)ZR1ASGdjF7VHDIjr0F`[t$F`8H\3$9kaDes?0+E2IF 0.491 0 Td (\)) Tj 219.84 399.84 m 220.245 399.84 l 220.245 413.79 l 219.84 413.79 l f [01KAeBl&&i@;TQu-pqoiE-686EZe(pA7]e!.3NYB@:X:oCj@ ?1\WOrcEm2aA?tJqB5"X\Cdu_J/3TX8Yfe&"BQ6-03;JDuZfAGYO"sQqDX KR3=7&T6Z6phEbT0"F^/he^sEb/ZiDf0B:+Co%q$85.mFD55r+=KTqE-ZJ=ol+>>E%0JO\(+>@(DEb/ZiDf0B:+C Z@>%d1Inp`:'!Ec?Re?7@I=$fB_A2VlP)XNi]<6"6U4V>-c.[eD/ZWhrf,1q5'>>lj%G6X7hQhquG2 ;S"STBkcH5r&30PCO_(DZZ.ml=9oQW_>$DWaa+GP..G^\M1b16dpAWG) i60fCg105YiJFD5]1Gp%'KF:)Q$E$-kn1a"G[F*(u6Ble',@0*E-670A9Di60fCp404\d*D/XGc5+>7\MF`VD6DKU"CE-670A9Di60fD!605YE@F`VMGi2+>7bHAo)%'F*2G5EcYf6+E2 /Name /F2 11.96 0 0 11.96 0 0 Tm /Length2 7382 $P`%)o4?j@NI%KoeU93j(]dSIJ.9f[PF3U$b7Cok2b\1N)Cign0P/ud[kS/B`gpgWPb6'5gLrC %2pF.@YrCLLki+*u3J:3?HJ!Tn`mhB)YgU! 0.713 0 Td (_) Tj iB8!uDEb]Y4ONN9?RdfE3EJZgR=McZ"-oJ>GAd3c$ka/KYNV0PLVeqnTSI0uR)_1LPUU^9g)J^317; 307.68 414.24 m 308.085 414.24 l 308.085 428.19 l 307.68 428.19 l f LoU,_NUR9E2"D(:?60^&39iU]\'L^XfBC'>='L.3J56j)GOMUlYOI"]g#_l%96Q@q7-dmAY"D)^jW^ Compound propositions are those propositions that are formed by combining one or more atomic propositions using connectives. /Flags 68 /F1 1 Tf A&Y7+!4<8_f71dKE4SFOMF[bcn=I5),>iR(K_;"a"F3O66q*;%ob9j8Dm`Qi F(qLs,B.Sc29uC6FNOd=dAR$M<2)^?M +j/I[FTEp;^49ca35!WhAmgk`hO=paPhUgJqZ2+#hd5+M+mO2XSJG0>osWJ)@[YH[*\DA;.F/M%Q)08:5CJJ-,fIZBu7/45F%$@RM#V:i0\Oor#c"h>?M,"4E+VdS? 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[S8RopDINoP)[%5$06N:g)Z@FbfK]0PS5BVCf:i1QD16U_2JI9*ak%g;qr]r !/%Y1rC6(P(4;tos1?qZd!Z"`LD])VVL$"D&jP:$L2:n;Pj3%R)@#HW1DY\hTe4Qdb5An_\QFP'YZ/l9pgUJ"NE5\=!J/Pi;I:r /F5 1 Tf 3.186 0 Td (Conditional) Tj H=K]EOt>HU",L\,C3\fmPlSm6VT?0oV5EXp7:s;pc6@d%Q(#>N*a59uupb1EuhCUYQ`p(l=,_)PLUqe& F0dg.%#o'8jW*HZ,s#C:U/cPdem!_U\J"XY)+hPj)EC_RJsD%-lb0H_f\gsM0 2.300 0 Td (.) gHRsVG%? /F5 1 Tf ,p?)`/O..3NYB@:X:oCj@.6AS)9&:2b5g@q?c26Z6phEbT0"FdART+fDJXS@A7]? *\HjOR=KD0Ad)909fZprgk&*/iEZ!J8jrl1'#?= 7N=:[\=gbVDj]icXed%MuaU`G,]RG==Zj2uT/b54ri,k7Z79X$@(@oO7&H/I4YhQ26#E,2OorkU[OG-8_(VUp Q q /F4 1 Tf /Encoding 27 0 R 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$E%d& *EX>g^O1 d) that This card is a ten if and only if this card is a heart? 253.44 249.6 m 253.845 249.6 l 253.845 263.55 l 253.44 263.55 l f The truth value of a compound proposition depends . ZbAt_j]52'EmJV[+-`g!T\PIjS+g4&$t!^6:m;^]!3Gshe=Q3`:p)Otq3Yq@`7Xk\=N[s1.oRFh"3e"T[8L_$,P:X[-l:Un?Ht72]GHGho^lMCXU pgih4+`/->MP>u7juZK%au0%^AXT>&OW B5(jaCi=>:E-670A9Di63B/-7Ao)C(Ebo7>CDf9Z:BkM+$+E2IF$=n9u+>G BT endobj /FontName /MSAM10 P : Sun rises in the east and Sun sets in the west. (Reference: Discrete Mathematics (7th Edition) Kenneth H. Rosen) Example: S = (p q) (p q) F For example, (p q) (p q), and p q (p q) (p q). Ro4T#_XsULr+J]t$jPjL3QLIRf8UB&>M5T`&cj+9N'4ito\Wtu9%!QQ^2s5-k]!+p%!ZUhg!LLp>BK /Type /FontDescriptor /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 ]

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which of the following is a compound proposition?