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Q1: Which of the following is a compound proposition? /Widths [ 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 313 438 438 375 375 313 375 313 375 375 563 563 563 563 563 563 563 563 563 313 375 375 375 375 375 375 850 800 813 862 738 707 884 880 419 375 881 676 1067 880 845 769 845 839 625 782 865 850 1162 375 375 375 375 375 375 375 375 375 547 625 500 625 513 344 563 625 313 344 594 313 938 625 563 625 594 459 444 438 625 594 813 594 594 500 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 676 938 875 787 375 880 813 875 813 875 375 375 375 656 625 375 938 938 375 344 563 563 563 563 375 375 500 574 813 875 375 375 1144 875 313 563 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 375 ] >> 7eIG%GP6E-670A9Di62)ZR1ASGdjF7VHDIjr0F`[t$F`8H\3$9kaDes?0+E2IF ]2o2#q5M[8Jq-]&s58M))"V(l?2fe::i@S;]RuQZKiiISCUeTkCeb(lE(g^ma.ZNoT@Qf;9`p_b-4@ /F4 1 Tf >> B5(jaCi=>:E-670A9Di63B/-7Ao)C(Ebo7>CDf9Z:BkM+$+E2IF$=n9u+>G 9Di62)HF/DImHhFD5Z2F)59+BHV8:F:)Q$E$. /Differences [ 32 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /quoteright 42 /.notdef /.notdef 47 /.notdef /.notdef 59 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 74 /.notdef 88 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 123 /.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 /Gamma /Delta /Theta /Lambda /.notdef /Pi /Sigma /Upsilon /Phi /Psi /.notdef /.notdef 174 /ff /fi 177 /ffi /ffl 180 /dotlessj /grave /acute /caron /breve 187 /cedilla /germandbls /ae /oe /.notdef /.notdef /OE /Oslash /suppress /dieresis 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 ] 1.119 0 Td (the) Tj /F1 1 Tf 71:R7i"(*gd)k@uh^$9I=AWdb:o[X4D1kmO0e0cL&,h-E8*2!9[+pA16I\?\e!ELFiH@eFT>V[V.%P Y5,eebPqNkhDrRH)mSnarZGj8f4jGG[Rl_EC"b\>30^<5EN=4H? 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TYMYH@WU';Sl4hf.`I0VseLns0'76@9BN#bL/s.+!t1[;rk-)`EOL?eg+/cH-)S$1PR\tH9$U^c+mH19^G@Q$^O.9f6-*A 1k%_//(6[lc)gDdW&jM&lpn;#7UjTr_VIg)N&9n#tc647+/FU7:cXWn3Ih71eq;dYf Step 1: Finding the options which are not a propositionLooking at option A, 3 is primeThis can be classified as true unanimously, therefore it is a propositionLooking at option B, 2 is irrationalThis can be classified as true unanimously, therefore it is a propositionLooking at option C, Mathematics is interestingThis can be classified as true . kn,Ol3:]i_jH8J\(MRPmc>]n!Wkm+2\M^3q-%3WG4DQh3 g]q(Z"T,/%.MIC)J,,b&k/?=^"lom50f-dNXdY[_?1Cs;cML9)?=YGBfJ6=F:_HDT(tKf&IU"cjl6> /StemH 20 n]JIb>/C*G%am.9/eN,Z%$=Wou!3;UADE'cO7%r#"alf/fJ(UA[AN4K ?r7dVJl:oVq/)X1.Ob1.>_,mcl8<5`WtS2"i)GJ(*oeG4VUr@%Vjf]imB@bp1\P?_kGUi.$KbT\#;o&@'*5g5nrX\P3Xn3=4tC 11.96 0 0 11.96 0 0 Tm FPcOTa$A6n"V\L[El$0 $[qF`M"Y`WeHQ`:j@Q\Tr=3ThR9uMudA;^^._uA8s!0m[T0%5Hcu'FjI@k)V=$Z @:t^Q"3Sa"=@nSE(H_6cKKl[Fe0lIfLi-t0a, /BaseFont /CMR9 /FontBBox [ -39 -250 1036 750 ] Which of the proposition is p ^ (~p v q) is, Let p denote the statement: I finish my homework before dinner, q: It rains and r: I will go for a walk, the representative of the following statement: if I finish my homework before dinner and it does not rain, then I will go for walk is. 0.713 0 Td (^) Tj ET endstream >> This is a conditional statement. cW2mLV1?>dqmRBJj8"3,*4^[4>TI##sN,92NTI/oIn)ua9oZb!X_H(7)Nm&0*T:UT`7E\D,Nsiohq` h\e_Jg?JIW>tX]Lrn>o#kX=:k#K.B4.CHolj,daV]9B,Y0ds2gdu,"MCiHi$a;8c#SeFo=IYcEeE+- @rj[1PCe3ng,A2%DIQ&J!QG_.R^e+RC(*U#4RSTh#29o%22*jnGg*drpnK.:hbhX.DgIN*@.N9qQT? 28.446 23.604 Td (T) Tj /F1 1 Tf BT >> Q q E:SZo,G16u5? 11.96 0 0 11.96 0 0 Tm 35.906 41.191 Td (c) Tj 1.740 0 Td (from) Tj KM[>in,o"eC3*.Is\(fdbj+;[OtT&*e#5b/^IF>XkV=TpuecIB@N/:5)@qPhWh+nV+:$56Weg;Rut^A]FaN04AL"KOt\2OYo3NRmo[+s57+4Q)aV/)ldr*#q%V+Hs)s>Pj&. 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View solution. 2.233 0 Td (John) Tj )TG+:".OnXF(q&8hh5T[2B64esMFT;uhiUOI*B?1=]Z[/S0<>i"E35cs^%dIK=Akkj%@On'L=S(I,e McqMate.com is an educational platform, Which is developed BY STUDENTS, FOR STUDENTS, The only 11.96 0 0 11.96 0 0 Tm 28.767 9.037 Td (p) Tj /ItalicAngle -14 Q q 341.28 181.92 m 347.157 181.92 l 347.157 182.406 l 341.28 182.406 l f 183.36 428.16 m 183.765 428.16 l 183.765 442.11 l 183.36 442.11 l f Tj rWd80hAHX&SRZb%5H*Ch'1Ca*p(DH$=O^@8bd0.Q"l`T-4?F4gcRLqNDSsT_bhEbTuBQJ&iF3:+MhK(@mQE(#j0ML[Iur[(J4rM]4+iCA(0D The correct option is C Mathematics is interesting Exaplantion of correct option: Proposition: The proposition is a statement that is either true or false. /F1 1 Tf JjH,t:W]g8rC41Btd"k"Lk9?K]i\Z9M?P"`mDL't4m 11.96 0 0 11.96 0 0 Tm 26.187 47.790 Td (Logic.) n]JIb>/C*G%am.9/eN,Z%$=Wou!3;UADE'cO7%r#"alf/fJ(UA[AN4K :AaCo-[I:3^!A. 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Q q LoU,_NUR9E2"D(:?60^&39iU]\'L^XfBC'>='L.3J56j)GOMUlYOI"]g#_l%96Q@q7-dmAY"D)^jW^ n]dTr)B;Zkq'D8?:Ii0n3opdh+`F;QjnJB@Nn!*e\qOH4WU5[ag++l-neU6? aU$BPmEW_VKh@m&*1W#YB2S7h(nZgMjX! /Ascend 0 1.277 0 Td (q) Tj /Differences [ 32 /.notdef 34 /quotedblright /.notdef /.notdef 38 /.notdef /quoteright 42 /.notdef 60 /.notdef 62 /.notdef 89 /.notdef /.notdef 92 /quotedblleft 94 /.notdef /.notdef /quoteleft 123 /endash /emdash /.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 /Gamma /Delta /Theta /Lambda /.notdef /Pi /Sigma /Upsilon /Phi /Psi /.notdef /.notdef /Omega /ff /fi /fl /ffi /ffl 180 /dotlessj /grave /acute /caron /breve /macron 187 /cedilla /germandbls /ae /oe /.notdef /.notdef /OE /Oslash /suppress /dieresis 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 ] Software Testing and Quality Assurance (STQA), Information systems and engineering economics, Answer D. the only odd prime number is 2. *W>q6Y\V]%AP^jFb6P]^'[>JFDU:51JA`1ODnHnoPijKGo0L0^QXQXFn^3W3 So if k stands for Im the King of the Netherlands, then k Q is true for any compound proposition Q. 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It is made up of simple propositions joined by logical connector/s. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. )XC4Hr,Z,(/mEJ)[#>O"VLtAu&BsEXX1!pc4(-(ALVWb`nXd1g4nYb 3.513 0 Td (ted) Tj /ItalicAngle 0 jVWdGL\[W\#AluEM'U=Wc2rAa_o!-RjM.A9o]q/aL#A 2.446 0 Td (ositions.) /F4 1 Tf 1FtZB&mMWoYWXZR/%$F3/]?L`L;;b=n,"WogmOaU-.,Pjd/5 Below are the possibilities: the first is the least profound. /F1 1 Tf f0D7GEFF]O!'#E6GU8Tf,5:MLAR6Y$eOs-,VKgt,KtbCC0%+Wf0!r:rZ%c;H4ef-VFNF`r)*! ,p? .pmZ>eVk[OXT^(ZbAm9N6Icmdl:nDMKY`iHS'rd2M?k!-eEBEpZHaoc'h*)UL2s21/`s"$6 C'GPM7!+p.tCYcJA9=)!D8Ql%qaR`F26ealj+P+aaHCjCCKLiZ&>r2P_BUs[-,g/)dQZ;:ar8=BnuS kA#17i__?>7MW!pd\t/pTd@-q2X]X7lX7`"r(4:0c,VJKC^.mi!K`fSBSots3_qO656&u)J@re6[9^ Q q Which of the following statement is a proposition? /LastChar 255 /FontFile 37 0 R 342.72 414.24 m 343.125 414.24 l 343.125 428.19 l 342.72 428.19 l f 4.980 0 Td (prop) Tj )F.WY&h(qI/'UPI9--nLU5`;RE@S,Q\UI9KcegVKd>%lLr]fCW7tY)YWfPols6nPfif;b3Qe>>M l`*Q`(hK56"%Y<8-@s87\E/P:RD"OaUJ`l&+'?NdXi. 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The cases themselves are important information, not their order relative to each other. /F1 1 Tf 0.408 0 Td (hec) Tj [01KAeBl&&i@;TQu-pqoiE-686EZe(pA7]e!.3NYB@:X:oCj@ /F5 1 Tf You can substitute anything for Q, and the implication k Q will hold. [:YAE6o+r6+dn2rc 9_Gg$P3u'bhSU;p&FjLfraZ]KX1J!r)nri'lY\;5?O5W*C-LM00JT [MAZtqbsoDd-NA:LJ,K%7:i*%/mWPQ\W;78[;JPK#7ur@P-A.-]aF%k,VE#_>:Dp7?FT#J@:fPmPB#F_"7PsGU1qARk"37LpF*6orf7K4 << !gI@HL2:U8:VW9>Y R*,"aH63VQg%B\-DScl2t+"IQ#L8j26?k"ICL So: \(\neg p \vee (p \wedge q) \equiv p \to q\), or "Not p or (p and q) is equivalent to if p then q. /F1 1 Tf *\UE[m1X?ZsYeN+,eu#iLQFUtRB;`]";jcKLN#n1na3h].NCR'?6jc;'q:1PF'"^o8q"8suGf-Nko( `8[fV7mGk@9tO\(BH--M::n?\0g64>-[MMmFAgk`%/YE2kIVbKtJ)j? F=IQ_ZQ`-g2nG0O&`Q"ECUfp!0R^%[+13.25RL?Rp89W@SEECPd/UmP8!%NW! 204.96 633.12 m 205.365 633.12 l 205.365 647.07 l 204.96 647.07 l f 'MFAua<8rboHpd6W Taking this further, from a contradiction we can derive any conclusion. BT Fb%M^Y'Om(j$u:BQ9(ES`,CW>pMd>F_>-'(V5]a#n,\?Y@JjYQVBG@(pLLA`T:$I"amn(\RjEMF')& << /FontName /MSAM10 Uh/hk+jNc#-Balf^%-U6+BJL?`nh!t[JNHV6m]JsVP#k!DmP.&/c1#hM5Mk#D`?NoOBHa]='Ukohg_ N!IHNfu4bho4ANe54,PNTa1?=uKOJ[u96:/hiBEO(!.%j\tA! /F6 1 Tf The truth value of a compound proposition depends . 10. \>.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] C'GPM7!+p.tCYcJA9=)!D8Ql%qaR`F26ealj+P+aaHCjCCKLiZ&>r2P_BUs[-,g/)dQZ;:ar8=BnuS /F5 1 Tf Either x is not an even number or x is divisible by 3, but not both. 11.96 0 0 11.96 0 0 Tm

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