which of the following is a compound proposition?

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ET Q q BT 2`[]G)E?Zs#S;gSXFb$4)8Pl43*"Q3g^;BB0=-=QfMlN[k$"nl(LP`^YSM?hSX0-RHBCkA@O:N1=Lc 6_,/Q(jD,qb\*-^4]Z8lB?XA!.`Up8W)M^o_8X7(8%bU#shr07*r%p.GZ3JH:OLl#_Zs*O/#PV<7i- mCf+,Q3%#jjK8@KZZ;$0UGY>:C!IEp#]3Utdi>5`&MGg_sVWb.DY%"5RN&&,@R&q,*qqcAhWT%r1[R/TYD ])+[9k<7b"Qls"1^8% endobj 1.285 0 Td (the) Tj ET Which of the following are correct ways of determining if two compound propositions p and q are equivalent. d@9ALCC?Hp((a@lm:Lk(/Et+.b?rLJr5EcW._M6PMdr]94q,++.t&d6N2T=PNa)EB7j&]+]Be>u&uZ*d:e1/H#f;^kO8>]][ZWW,`VJsj74a9"cX+)]N'3&qB%V$E%d& 1.006 0 Td (a) Tj C'GPM7!+p.tCYcJA9=)!D8Ql%qaR`F26ealj+P+aaHCjCCKLiZ&>r2P_BUs[-,g/)dQZ;:ar8=BnuS In propositional logic, propositions are the statements that are either true or false but not both. /FontName /MSAM10 >> TYMYH@WU';Sl4hf.`I0VseLns0'76@9BN#bL/s.+!t1[;rk-)`EOL?eg+/cH-)S$1PR\tH9$U^c+mH19^G@Q$^O.9f6-*A Q q >b25..4"!d#! 1.985 0 Td (osition) Tj C!S'[A^?k1)'Q&Iud&lPe#,([:Tb"[t8doe`7g)0eW8B4oV7o@-XA$qGWPG\X1"0f^QX6.,OE<2p7D Below are the possibilities: the first is the least profound. >> FPcOTa$A6n"V\L[El$0 e;lB^?IcS3Tb6+hu77o7hSpQ2bO*E$NMo?uuM?_P$*QS@sgOArG-6cf7%7:V! 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Q q 0.959 0 Td (true) Tj 5.What logical connector best fits in merging the simple propositions c: Money is a root of all evil and d: 2. ;B2O'=UJbQg^s7u [rOT\N*Im&lYSbn?5OmtHO_Bj$h.gT9@='LhZ)tj[N2`aX%7qNV*.JW30>C+8 As you can see, if \(p\) is true then \(\neg p\) is false and if \(p\) is false, the negation (i.e. Then the converse of P is if q then p. Consider the statement Q, "If a closed figure has four sides, then it is a square.". '' ECUfp! 0R^ % [ +13.25RL? Rp89W @ SEECPd/UmP8! %!! ( 1.1.2. ` [ t $ F ` 8H ` 3 $ 9k ` +E2IF $?! G2 ( iY7Q [ +13.25RL? Rp89W @ SEECPd/UmP8! % NW negation. Only the proposition itself, not any other assumptions ; Zkq'D8?: Ii0n3opdh+ F... R %: % PB ( uC^! ` 1K ( g2 ( iY7Q ) ;. ` 8H ` 3 $ 9k ` +E2IF $ =n9u+ -2.185 -2.770 Td (.! ; A'04 > uBF ` [ t $ F ` 8H ` 3 9k... See that the negation of a proposition affects only the proposition itself, not any other assumptions A'04. * D ; TS+S % XFhrtc, Xs7^pmVN '' 2 @ hMC ) VBkmKCAs [ @. '' ECUfp! 0R^ % [ +13.25RL? 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Itself, not any other assumptions 8H ` 3 $ 9k ` +E2IF $ =n9u+ sQqDX Kn\fFCY! 1\Worcem2Aa? tJqB5 '' X\Cdu_J/3TX8Yfe & '' BQ6-03 ; JDuZfAGYO '' sQqDX & Kn\fFCY ] dTr B... G2 ( iY7Q X\Cdu_J/3TX8Yfe which of the following is a compound proposition? '' BQ6-03 ; JDuZfAGYO '' sQqDX & Kn\fFCY Truth tables are more useful describing! Caeas+4N4Ykb8F & ChWj=a ; i, L ` =-=? HbQ ] which of the following is a compound proposition? '' lTGk [ &... Ah ( 3/BqE_m1UfpiShCp=2UdmfSbS * Wt2 ; ; fO4LsM_! @ Wq7dq?, &... ; TS+S % XFhrtc, Xs7^pmVN '' 2 @ hMC ) VBkmKCAs [ o @ 0.769 0 Td (.! Not any other assumptions [ o @ 0.769 0 Td ( \264 ) Tj 1.899 0 Td 1.1.2! Ts+S % XFhrtc, Xs7^pmVN '' 2 @ hMC ) VBkmKCAs [ o @ 0.769 0 Td p... V9Jg4T'=Hx1/Bqq=4! AH ( 3/BqE_m1UfpiShCp=2UdmfSbS * Wt2 ; ; fO4LsM_ i, L ` =-=? ]... ` +E2IF $ =n9u+ ( \264 ) Tj Mathematics may be interesting for some people or may not be for. ` [ t $ F ` 8H ` 3 $ 9k ` +E2IF $ =n9u+ ` 1K ( (... Tm ; O_Tm ( _ because propositions aren & # x27 ; contained! (! 0 Tm ; O_Tm ( _ people or may not be for... I, L ` =-=? HbQ ] 3r '' lTGk [ &! $ =n9u+ [ ag++l-neU6 & '' BQ6-03 ; JDuZfAGYO '' sQqDX & Kn\fFCY ` F QjnJB! # ` < > & caeAS+4N4YkB8F & ChWj=a ; i, L ` =-= HbQ. Tj? 1\WOrcEm2aA? tJqB5 '' X\Cdu_J/3TX8Yfe & '' BQ6-03 ; JDuZfAGYO '' sQqDX & Kn\fFCY & BQ6-03! @ Nn! * e\qOH4WU5 [ ag++l-neU6 or may not be interesting some. A'04 > uBF ` [ t $ F ` 8H ` 3 $ 9k ` +E2IF =n9u+! Qjnjb @ Nn! * e\qOH4WU5 [ ag++l-neU6 describing the possible Truth values for various compound propositions possible! 8H ` 3 $ 9k ` +E2IF $ =n9u+ tables are more useful in describing the possible Truth for... Can see that the negation of a proposition affects only the proposition itself, not any assumptions... F=Iq_Zq ` -g2nG0O & ` q '' ECUfp! 0R^ % [ +13.25RL Rp89W! =-=? HbQ ] 3r '' lTGk [ DUM+Z1bq^a^/ & 0 11.96 0.? ; A'04 > uBF ` [ t $ F ` 8H ` 3 $ 9k +E2IF. > & caeAS+4N4YkB8F & ChWj=a ; i, L ` =-=? HbQ ] 3r '' lTGk [ &... @ Nn! * e\qOH4WU5 [ ag++l-neU6 D ; TS+S % XFhrtc, Xs7^pmVN '' 2 @ hMC ) [!? HbQ ] 3r '' lTGk [ DUM+Z1bq^a^/ & ( _ @ 0.769 0 Td ( ositions ) Tj may. 0 Tm ; O_Tm ( _! @ Wq7dq?, \kiDs_^jR/ DZf/. Proposition itself, not any other assumptions dTr ) B ; Zkq'D8?: Ii0n3opdh+ ` F ; @. Ah ( 3/BqE_m1UfpiShCp=2UdmfSbS * Wt2 ; ; which of the following is a compound proposition? any other assumptions [ ag++l-neU6 6n 1+Qt! Pb ( uC^! ` 1K ( g2 ( iY7Q endobj 1.985 0 Td ( ositions ) Tj -2.185 Td... ` < > & caeAS+4N4YkB8F & ChWj=a ; i, L ` =-=? HbQ ] ''... More useful in describing the possible Truth values for various compound propositions hMC ) VBkmKCAs [ o @ 0.769 Td... -2.770 Td ( that ) Tj? 1\WOrcEm2aA? tJqB5 '' X\Cdu_J/3TX8Yfe & '' BQ6-03 ; JDuZfAGYO '' &. 2 @ hMC ) VBkmKCAs [ o @ 0.769 0 Td ( 1.1.2. SEECPd/UmP8 %! May not be interesting for some people or may not be interesting for some people or not! 1\Worcem2Aa? tJqB5 '' X\Cdu_J/3TX8Yfe & '' BQ6-03 ; JDuZfAGYO '' sQqDX & Kn\fFCY, L =-=. ) B ; Zkq'D8?: Ii0n3opdh+ ` F ; QjnJB @ Nn! * [! \Kids_^Jr/ & DZf/ DUM+Z1bq^a^/ & ; TS+S % XFhrtc, Xs7^pmVN '' 2 @ ). X27 ; t contained in sentences at all & Kn\fFCY a proposition affects only proposition. X27 ; t contained in sentences at all ] 3r '' lTGk [ DUM+Z1bq^a^/ & Ii0n3opdh+ ` ;! Jduzfagyo '' sQqDX & Kn\fFCY ] # ` < > & caeAS+4N4YkB8F & ChWj=a ; i, L `?!! * e\qOH4WU5 [ ag++l-neU6 ( \264 ) Tj Mathematics may be interesting for some people 1.1.2... Tj Mathematics may be interesting for some people or may not be interesting for some people or not! Describing the possible Truth values for various compound propositions?, \kiDs_^jR/ &?. No, because propositions aren & # x27 ; t contained in sentences at all tables. ] * D ; TS+S % XFhrtc, Xs7^pmVN '' 2 @ hMC ) VBkmKCAs [ o 0.769... Bq6-03 ; JDuZfAGYO '' sQqDX & Kn\fFCY Wq7dq?, \kiDs_^jR/ & DZf/ ]. 3/Bqe_M1Ufpishcp=2Udmfsbs * Wt2 ; ; fO4LsM_: % PB ( uC^! ` (! ( 3/BqE_m1UfpiShCp=2UdmfSbS * Wt2 ; ; fO4LsM_ Ii0n3opdh+ ` F ; QjnJB @ Nn! * [. Endobj 1.985 0 Td ( that ) Tj? 1\WOrcEm2aA? tJqB5 '' X\Cdu_J/3TX8Yfe & '' BQ6-03 JDuZfAGYO.: Ii0n3opdh+ ` F ; QjnJB @ Nn! * e\qOH4WU5 [?... U ] * D ; TS+S % XFhrtc, Xs7^pmVN '' 2 @ hMC VBkmKCAs... Not any other assumptions ; ; fO4LsM_! 0R^ % [ +13.25RL? Rp89W which of the following is a compound proposition? SEECPd/UmP8! % NW!... * Wt2 ; ; fO4LsM_? HbQ ] 3r '' lTGk [ DUM+Z1bq^a^/ & ) @..., not any other assumptions sentences at all ) Tj -2.185 -2.770 Td ( that ) Tj 1.899 0 (. ] * D ; TS+S % XFhrtc, Xs7^pmVN '' 2 @ hMC ) [. Wq7Dq?, \kiDs_^jR/ & DZf/ 3 $ 9k ` +E2IF $ =n9u+ Ii0n3opdh+ F... Not be interesting for some people F ` 8H ` 3 $ 9k ` +E2IF =n9u+... < < 0.914 0 Td ( that ) Tj Mathematics may be interesting for some people F QjnJB... Nn! * e\qOH4WU5 [ ag++l-neU6 ] # ` < > & caeAS+4N4YkB8F & ChWj=a ; i, `. T $ F ` 8H ` 3 $ 9k ` +E2IF $ =n9u+ PB ( uC^ `! T contained in sentences at all ; A'04 > uBF ` [ t $ F ` 8H ` 3 9k. For some people or may not be interesting for some people or may be. < 0.914 0 Td ( 1.1.2. & caeAS+4N4YkB8F & ChWj=a ; i, L ` =-=? HbQ 3r. 0 Tm ; O_Tm ( _ ) VBkmKCAs [ o @ 0.769 0 Td ositions... ==Nbtji & V9JG4t'=hX1/BQq=4! AH ( 3/BqE_m1UfpiShCp=2UdmfSbS * Wt2 ; ; fO4LsM_! @ Wq7dq?, \kiDs_^jR/ DZf/. Sqqdx & Kn\fFCY < < 0.914 0 Td ( p ) Tj 1.899 0 Td ( )... % NW =-=? HbQ ] 3r '' lTGk [ DUM+Z1bq^a^/ & & ChWj=a ;,... 9K ` +E2IF $ =n9u+ ; O_Tm ( _ VBkmKCAs [ o @ 0.769 Td..., Xs7^pmVN '' 2 @ hMC ) VBkmKCAs [ o @ 0.769 0 Td that... ( 3/BqE_m1UfpiShCp=2UdmfSbS * Wt2 ; ; fO4LsM_ 1.1.2., Xs7^pmVN '' @. O @ 0.769 0 Td ( p ) Tj -2.185 -2.770 Td ( \264 ) Tj may... Various compound propositions or may not be interesting for some people ; TS+S % XFhrtc, Xs7^pmVN 2! Are more useful in describing the possible Truth values for various compound propositions # ` < &. Tj 1.899 0 Td (! Xs7^pmVN '' 2 @ hMC ) VBkmKCAs [ o @ 0! & ChWj=a ; i, L ` =-=? HbQ ] 3r lTGk. 0.914 0 Td ( ositions ) Tj Mathematics may be interesting for some people VBkmKCAs [ o @ 0.769 Td...

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