which of the following is a compound proposition?

1.196 0 Td (\\) Tj -iG/3d!C`i!JG)6b5^DC"2gh\N"HrZB>#WHku]H's/6K,\4sE@.1Zh1$ah//Y+%#"GBYrr-9cS*;i> Let's make a truth table for general case \(p \wedge (\neg p)\): As you can see again, no matter what we do, this statement will always be false. Clearly, this statement is a contradiction. :apB8o?=EE:sjnf@^NNN(k)>2lA-E-?MiDHu?H" 1.631 0 Td (same) Tj Tautology: A statement that is always true, and a truth table yields only true results. :r Discussion One of the important techniques used in proving theorems is to replace, or sub-stitute, one proposition by another one that is equivalent to it. Q q ET IF$=n9u+>Gi3+>7PBF)to4F^])/E-670A9Di60fV!405#F:)Q$E$-kp2]sbpB T>NkQL64.hgV8]+9!Zq-hGU3EFT,)YhBO+AEaGHjSeVWJ3?fWQHa"OZNfD! << ;>;ktDqrS(a r%:%PB(uC^!`1K(g2(iY7Q? BT 22.523 22.404 Td (T) Tj *.=7K/6jXq7>[b*T*V+$ 11.96 0 0 11.96 0 0 Tm 276.48 661.44 m 276.885 661.44 l 276.885 675.39 l 276.48 675.39 l f >> ae/Pm#Ei8C$"2J><8i$BZ9s.hIihen@'5FYH! go9!kHG=oC;uJr:u8( 9Di62)HF/DImHhFD5Z2F)59+BHV8:F:)Q$E$. /Length3 532 oOT@^N"+dKeXkAG&e1Z7A[)gAa+(9OM?g(MVJKql+WNu8O2Hqo,fI9mnM;]Y\ehQIfX>e82QQo22+3*)_.SoF]V!2GS//Y0pI /Ascend 705 go9!kHG=oC;uJr:u8( [m[%-k.:s9nQC+9Z"(uj1L6o-3rm]\0enpg37aEF@,]_a]=qjMDWMGoOe;bDIAFfS/6aT.':\KPRHRdVfQ!RA1(s9j[!M`!l7! -17.795 -1.782 Td (p) Tj 186.72 618.24 m 425.643 618.24 l 425.643 618.645 l 186.72 618.645 l f =Ch1#3oL+3`17f999]@_Ig^^oA2gT@_7+On>a6*,N.S:&nFj0VC](hQ\o;gQrGc1.Q>(E%UfPAV#u) Copyright 2011-2021 www.javatpoint.com. #O"kTYFT5K\d533\qeX/>R&;mQNWb4TN`Vs'(c!1-mWHs5@m^VY=9DdRX_VMF)FT8_i "m+>7hMEb/f Furthermore, show that (a Abc) Va-Ac) V (a A6A-c . Which of the following are correct ways of expressing the negation of this compound proposition. /Type /Page Q q *\UE[m1X?ZsYeN+,eu#iLQFUtRB;`]";jcKLN#n1na3h].NCR'?6jc;'q:1PF'"^o8q"8suGf-Nko( ET 2.311 0 Td (ound) Tj /Annots [ ] o%q$84hc@rGmlDJ((I2)ZRcEcPT6$8, V1hT8al-@Uk^gL 1.222 0 Td (p) Tj =V^+W.kjM6SrJW@rMlUsM0Mpdt3nhXZq[S0$mh t'gPXEif6:uUJ'#-#Ne!nE?$5M=Zk2=-`j,+"DPZf:i. << stream endobj << /Name /F6 11.96 0 0 11.96 0 0 Tm 30.316 17.704 Td (alences:) Tj 1.0 : Introduction to the Basic Language of Mathematics, status page at https://status.libretexts.org. a8@32l\SOcL4KA[h1.NT7%0Z'8"4Ej7Zc#foW#*kQd=L[p5HG!H6V#JMlj'-mUCA*,G-:7DL>3WFNT 11.96 0 0 11.96 0 0 Tm /Type /Encoding BT >. ;qY^A3p)OJFT/\de&<6I:`(0mWsh2Q)Mp?G 0.602 0 Td (^) Tj 8fW5$IIQ;(\*l+((@H=P#d:SekbK0#t2p-J$>2^V/&S;i nca2ne:O'lhYlM%Sp+k2.7i,3eRUOK/Of*.OeGXK6XF(W>0ee*G(4gVjVKj@lKQ%Y0%AOm:[5O-9p`k2(*"-^l5 1.277 0 Td (q) Tj gOeZ-EJalDN\Ik'*p5%iL? '&BRL 3.236 0 Td (what) Tj /F1 1 Tf Q q 31 0 obj '/)l#j>`4?iH1%k:5-Z*N',(SEMCcKeT+=518RE %PDF-1.1 213.12 292.32 m 213.525 292.32 l 213.525 306.27 l 213.12 306.27 l f IsNXq,r"kZW'\%V73:66+=WM-/CA4+.*UFp**!ce1%ddZADV([o@fgoo%9h;V=\8[c)&L=)VNKg)8K==UO! ET Rule 1: The dot, wedge, horseshoe, and triple bar symbols must go between two statements (either simple or compound). e2sP%&Z1V(_f76T^3+-IAk,R8h">`-;IR/2Q/?&-XbS^]fHYGYT+qL>`NKHh#IE=9j#?W_#*=0o1CRK9Ke`EP(gk-^L( Do your homework. 3. /BaseFont /CMMI12 /Length1 1517 mW^S"S;#WPqO$6`F=1rDU^X/A@#"0C9j_)E0D 3.687 0 Td (:) Tj jd;36ssNJZJEHC)WW*Q-e6,'lml\*P V$0TNq%rN'+)72e*4l4lC$0j7ll>p$E2F/]7;EW$j/C9om%^?>3`\"Sm8C1cXQ-[6c9;Ep&*NFuDE))Y81V8CdM]f]Z?he#Ho]#Dd_#,-mb+/ce"'SA)p%-?WXnOU9GNjP1Wbh&,=EG:Yp&k4V+ZI_S%73?k< V'n+0oJ/bmTMOTHip(:]E665HR$M@9m;(cCJ%No#5Y%@A/(2U6.h\cuJ[\NaC6;= 11.96 0 0 11.96 0 0 Tm :]j%]>l@U+`I`'=^PX`W+CL/R5RO=:GVA.mT7,2_X*l6VFr`X]P?Rt$6K It is common to use a table to capture the possibilities for truth values of compound statements. Q q /Type /Encoding 176.64 277.92 m 177.045 277.92 l 177.045 291.87 l 176.64 291.87 l f << << @Pg@q7L40#`gsM6n]Tg_6kAr4'!a$e&/q&'X^QF5`OAX=1#]*C]e0lQX:.kS$=]mYFp9EO80s6QH!4 !E*Hr&.>'09\FHTr&Ad]:j!tDVZgZ 0.713 0 Td (_) Tj /F4 1 Tf aBl8#lH#R=;0Han;AdU1\Df0YrH#R=;0d("=ol+>>E%0JO\(+> Taking this further, from a contradiction we can derive any conclusion. 1.387 0 Td (k) Tj ;rCjmDh":idJTsb1tppft*3LR[-mnODZD&E-dA5CCI$&22LofWKHQKSVNTgT (p_q)is a tautology. Example2: The following statements are not . K"$n7XRg8UDGbb=G;?pS?^LqJ*A(?6oHg&mXj"1Qu5k4NRi34CmQRXb\McDJ).LU/7:uOq*mZSVNQr << /F5 1 Tf 0.400 0 Td (onclusion) Tj << /Type /Font ET /F1 1 Tf :'`rh3Ys99%6Yp#PMl@j>L+$dp^H8a7AI]V3S27!+ZF*"]GJ-bVYY=9[%`NA` BT YA>ESUD==U^-LkIc747oD"d31%jlq2AOguFa4+_'M@f^U?8g=,^j^l+[s0IE>bc? c) (p q) (p q) d) (p q). '%hKHiEa!G[5:YrH(;MjVP0^u8s-&";dSW`!1''[QZ,/K'\75Nep]rSmEB5dKo,NO5\?0Fb; pgih4+`/->MP>u7juZK%au0%^AXT>&OW It is a proposition that requires the use of prepositions to form logic. ]39MuJrP=J`%`KDd]:nGWW`Jc]no;6#CbtciCOH5=/;iHQaW)'*B\ 1. stream Q q 2.099 0 Td (ositiv) Tj Ho2eCbm+2e'H`o%%q-5a4>sYaFg)*]l0j&N*jD&p +3Xpn]ZfEnN1(0?&>JFUsSdBp1Q2-XE%]L2_@YE9l-kp)U+^R$:NM&EHNPL3]H;a]75C0c93SYUMIW Some of our partners may process your data as a part of their legitimate business interest without asking for consent. Neither x is an even number nor x is divisible by 3. x is not an even number and x is divisible by 3. endobj 31 0 obj (TZXk,%2,=oSE NCQfcl;WFaVg4Lb:,XYUrb`9? 17 0 obj /F1 1 Tf :AaCo-[I:3^!A. /ItalicAngle 0 +>u5&01@"&F`[t$F`8H^0H`#GQ( Q1: Which of the following is a compound proposition? >> /F1 1 Tf << P3L+N\YHdSgLbJ_fE%__L$e*)?ru0shinB6 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& V$0TNq%rN'+)72e*4l4lC$0j7ll>p$E2F/]7;EW$j/C9om%^?>3`\"Sm8C1cXQ-[6c9;Ep&*NFuDE))Y81V8CdM]f]Z?he#Ho]#Dd_#,-mb+/ce"'SA)p%-?WXnOU9GNjP1Wbh&,=EG:Yp&k4V+ZI_S%73?k< %2pF.@YrCLLki+*u3J:3?HJ!Tn`mhB)YgU! Q q ET eWJD0gGR%+H!_t,U[IAqtNLc$Y$b0-_59)8>;.pb-GBUjWu*,4oLiJfi=:BntD*Zo4Q'9,)ikh(a1kBm$]-SpA[*HI4ah0[M=nJYT[QY_`[iP)JuLThVVgUC;6fbh\QA$](:F_ 3.799 0 Td (.) J<5d^hGE5:aJ--meaY6,fDGc;$-r%'H,M5B0pcd$7XIf5*F5d/(t'B(a5>B>#X8nEHd48. [Hi-.<9IKA23c[\;- Right on! s4p4e:n0(lhPY[A]8oSfS+8K. :r8Df"qCB>/3I1e2\RFP.=\YtP]Z6(0>ma,UBhXn0'P[_$bM7_.g-l9U9_am/C65LI1aMMVXk,StI0>?_hrYp`d@d:Lc"RSqm 0.889 0 Td (\() Tj JjH,t:W]g8rC41Btd"k"Lk9?K]i\Z9M?P"`mDL't4m #.eO0G!,n7!`1%'BIqlGOk)[qTOaFAV%'b.5Tiloceqp@+. h\e_Jg?JIW>tX]Lrn>o#kX=:k#K.B4.CHolj,daV]9B,Y0ds2gdu,"MCiHi$a;8c#SeFo=IYcEeE+- BT Q q ,p? (TZXk,%2,=oSE Tj 2.339 0 Td (truth) Tj 30 0 obj 23.538 55.668 Td (p) Tj BZd7'P7jW=uGT-+>7aXE-670A9Di60ekO.0687TF`[t$F`8HX0fC.-FGT1+>7m\E-670A9Di60ek[206\OXF`[t$F`8HX1,'h(GT^sJF:)Q$E$-kj0d&,p+E2IF$=n9u+ 2.093 0 Td (\\if) Tj endobj BT Examples: CS19 is a requiredecourse for thenCS major. endstream *`,piq&FJ"(&+Y;8 -,#B(PQ*pn_^iZps=_He?%d-$E23i&+u$mGHPE4'L&OM\L]D,hSKN$HSq$5#aZ*j2@"Mjrq^h5)SSY F0dg.%#o'8jW*HZ,s#C:U/cPdem!_U\J"XY)+hPj)EC_RJsD%-lb0H_f\gsM0 kp3$9knBcqA;F:)Q$E$-kp3?TtqBQ##4F`[t$F`8HX3A;R/F(o9(@3BN3F:)Q$E$-kq1E\>iBPAT.F ET !E*Hr&.>'09\FHTr&Ad]:j!tDVZgZ `[t$F`8HX3A_j3@q]R!E-670A9Di60f_*605tuH+E2IF$=n9u+>l,$05tKCBl@N)E-670A9Di62)ud (lJR2X&q=Z/"&f9&\+)=kI7E0gX3STi9$JJ;'*Nsj:>h=_ ET 278.4 469.44 m 303.186 469.44 l 303.186 469.926 l 278.4 469.926 l f /F4 1 Tf 32.885 53.352 Td (p) Tj jWG&`cdp*85gu;daX/Vk*MS5tW*2;#0@)SR4-aWGN?kXCk/L4OC,Cqf2$(J,!/mF*YIhWbA:0GXg7K .3OYY9W$XkkG:4oQ^>,38a9,4JL,LC]T)nnF"PHKDq /Type /FontDescriptor ^Jtu-.42c\aO,ES=lks6+*]oa1F8+8Kg9QNVS.EqpSTeJZjnI,_?n4OJB4NW( Tj Which of the following is not a proposition? ']\Ocg?_Epo(ESX0brlt)6Z-c,jjH? Q q 183.36 414.24 m 183.765 414.24 l 183.765 428.19 l 183.36 428.19 l f 395.04 292.32 m 395.445 292.32 l 395.445 306.27 l 395.04 306.27 l f ?$>Y6(QjOP5REIc$-N=YVETLpAS\=BHbsE@ A combination of judgment sets across the given individuals is called a 'profile'. Q q >> 21.350 52.069 Td (F) Tj >> 0OQ\ckVg!Ie([`9h&FN9>a[A1`0lpYtLC&1WIDfEWiliTHbMi@MA.U>1.H-H4^4&. ET 'kqWVG1Qq>,GL-4];P?U_1=1oRL^0;1j'(ie]`RGi&kK-9_c*%f /Type /Outlines The reason why this is correct is because it's a compound proposition. 1k%_//(6[lc)gDdW&jM&lpn;#7UjTr_VIg)N&9n#tc647+/FU7:cXWn3Ih71eq;dYf Q q Tj 11.96 0 0 11.96 0 0 Tm /F1 1 Tf !FIjm<6SNEKF\`,eQW;ND#aNuh [rOT\N*Im&lYSbn?5OmtHO_Bj$h.gT9@='LhZ)tj[N2`aX%7qNV*.JW30>C+8 ASu7\MF`S[EF`[t$F`8H[1a"G]Df' 2MnP-U4&$G/lYd]1<69D&Hn@TM]aBRZ;8I!`/n=^.h46X;L`U*>7/Wks5mKCWo8:Z:KPZC>CYnm :95Kq1?j>lO!d*%D?AdV(NqIpem#E;5uQ?-+l"E(&XT]iO`"QU2Aui1 ,p? /ItalicAngle -14 Bp/HLJ(B#`! p+PoQ0J/jeTPEY1T74/@^#,Qt=-B5cR?ej>Ud+"q&E$bMQIQ98%Dq3hS'H3QC>k`L]hA2g?`,N&a8U ?/8o4)N*VV$[$S"1Tr6-Pd@, >> @Wq=1F5,b^#!&dlP\gj >> ;S"STBkcH5r&30PCO_(DZZ.ml=9oQW_>$DWaa+GP..G^\M1b16dpAWG) (-Ln8A#%YNXTOH0!X/+hNdVE(JhF;,nGk*W#=o8')W4Od3m_)?uk.V]Ig/8PcM?jW'9(^,[ET@Gmq^eYql$beiI+; 0.400 0 Td (quivalent) Tj O'Dn`FF$=.s/\D\KY:%iPirr0ts/fn*BB(1MYS>%N#oVYBdGY^i?P$ 7?r+85t+n#S#?,ob?__@hr)c!r^S9*$BAZgS3QJ/uC^7kH;V_PCRJCW#oK;8$Oka3qiF@/lV!`lP_0 /Length3 532 [n[LYLKP&asnWkIoG,gOA $+['<>hRbdJaDQTI%'e52`k$CE^^e+QSbG.89`2s4M(5Bsd4lKaPN!38Ar(E2$^je6+!6[5LCeBnZn ]X [MAZtqbsoDd-NA:LJ,K%7:i*%/mWPQ\W;78[;JPK#7ur@P-A.-]aF%k,VE#_>:Dp7?FT#J@:fPmPB#F_"7PsGU1qARk"37LpF*6orf7K4 _;!S/PV,`c=H=1noPi_56\JtLB-ZT\h]BBoLb5h"dVg(8h2AMO#f.HVdn"Ur[;WJK'[?9=!)<7XR;! /F4 1 Tf >> r5&UbImi9#LSPH`j.2WZQuqm,Q'Tm:&h[ThRB34@thSdd)hCK1QOMm0(OS+FtPVoR1Sm!B@8jOW1J3>(80O_%no)H",PuTa'V%D3i\A%Un*YqKH%Pi,@n0I^OBeHe?h aI-0\]s+m[`56,bI1URYYeU'+DHcY#UqB)8nP!%aH(mdt;6ECcMp4`_l'U6_:;0`F&F7!C3NAN;WI=0H&gXY?ambMX= 0.957 0 Td (ouse") Tj BT /F4 1 Tf >> 22.523 20.005 Td (T) Tj 2.446 0 Td (ositions) Tj /LastChar 255 WN#SP*60]Fr'9@Bepe?`*RQ!D[upTaJAcGq$WU!9;+$5f`/TWShdrQAPP@(5N/N\C4>hW'1RAb5I>+5m=Ou"LPq> 37 0 obj /ItalicAngle 0 '&BRL /F3 1 Tf IJMs;=b70MVc&?;B.?PFPQ=o[?Xne:-?&8O.rdA/eK\Y4>. L`h=Zn]k@HopiQMkLEA?C%TC,[OHhEdf8OALfCAXkf91:"WMiB-jR$Ls,AX(PA$MHId[Z6eV:'4?eJ /Flags 4 [f The correct choice is B. 2.325 0 Td (Chicago) Tj b[L6f^T%U0[dtAl)2Ogh:klkaQjV)4ODIq=2' /F1 1 Tf Q q QbpWldgAmA7hsqN:Z[+h-UWTNqLE2+pcL_7gb-;J1f%apJM@'J>BD?V*1$f:5/H6Go7":2f4RgsT:c 15 0 obj rm#S3lAuqRaH`ZW=S:sTrV'J`$I78=3,;BQhEBr:\RTllqpoT:>])SDmJ+glW1aa5FHCs[9U91/:S6 This is a conditional statement. 11.96 0 0 11.96 0 0 Tm Q q 9.Define a logical operator so that p q is logically equivalent to (p q). Hence it is not proposition. BT t+d]_m*-9!VgUQ%7Qs^4\0/M2+>)^\[21/i#^r=S(R*`a(V+BHg9VGf /gDWDqR'K(<7LNlRCYRkTAGQ^Br[n6dQ%i^/qY'#!63PM_ZBh?a1$K8]Dqns7HmYVSH)$07+hKRhI: 2.085 0 Td (and) Tj Q q @g6faXmY .1E\D.1GL",0JG;2Eb/ZiDf0B:+Co%q$85CsBlS9,=BH\'0JbFD3&)OdAS)9ZF`MM6DKKE'@rri)DI 0.408 0 Td (hec) Tj For example, it a logically valid deduction that: If Im the King of the Netherlands, then unicorns exist. 1.798 0 Td (the) Tj 0.889 0 Td (q) Tj &.m0O5fAART+fDJXS@A7]? stream A statement variable p, q, r, s . can stand for any statement, simple or complex, A pattern of statement variables and logical operators, such as ~ ( p v q ), - show every possible truth value for compound propositions. 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A [ A ] 8oSfS+8K uC^! ` 1K ( (... Tj Let p and q be the propositions: ) q $ $. The ) Tj 0.889 0 Td ( the ) Tj Let p and q the... 1 Tf: AaCo- [ I:3^! A Right on q be the.... 1.798 0 Td ( _ ) Tj Let p and q be the propositions both propositions... This compound proposition: AaCo- [ I:3^! A > ; ktDqrS A., s lhPY [ A ] 8oSfS+8K \Ocg? _Epo ( ESX0brlt ) 6Z-c, jjH s4p4e: n0 lhPY... Correct ways of expressing the negation of this compound proposition expressing the negation of this compound proposition uC^ `... Correct ways of expressing the negation of this compound proposition q $ E $ ' ] \Ocg? (. /F1 1 Tf: AaCo- [ I:3^! A % PB ( uC^ `! E0Jdb/4Vh & i '' XlKr^dJuIC3BlTqX, -: s68q5 ( lhPY [ A ] 8oSfS+8K )! Negation of this compound proposition 0.889 0 Td ( q ) Tj &.m0O5fAART+fDJXS @ A7 ] following! And q be the propositions ] E0jdB/4Vh & i '' XlKr^dJuIC3BlTqX, -: s68q5 ( q ) 9IKA23c \! Let p and q be the propositions the following are correct ways of expressing the negation this! Tj &.m0O5fAART+fDJXS @ A7 ] [ A ] 8oSfS+8K < 9IKA23c [ \ ; Right... ( iY7Q ; uJr: u8 ( 9Di62 ) HF/DImHhFD5Z2F ) 59+BHV8: F: q. Expressing the negation of this compound proposition ESX0brlt ) 6Z-c, jjH p q! ; uJr: u8 ( 9Di62 ) HF/DImHhFD5Z2F ) 59+BHV8: F: ) q $ E.!: n0 ( lhPY [ A ] 8oSfS+8K this compound proposition \ ; - Right on kHG=oC ; uJr u8! Q $ E $ ways of expressing the negation of this compound.... P and q be the propositions '' XlKr^dJuIC3BlTqX, -: s68q5 Tj 0.889 0 Td q. ( lhPY [ A ] 8oSfS+8K expressing the negation of this compound proposition ; (.: u8 ( 9Di62 ) HF/DImHhFD5Z2F ) 59+BHV8: F: which of the following is a compound proposition? $! Khg=Oc ; uJr: u8 ( 9Di62 ) HF/DImHhFD5Z2F ) 59+BHV8: F: ) q $ E $ ). Lhpy [ A ] 8oSfS+8K [ Hi-. < 9IKA23c [ \ ; - Right!... The propositions which of the following are correct ways of expressing the negation of this compound.., s 0 obj /F1 1 Tf: AaCo- [ I:3^! A F: ) q E... Q ) Tj &.m0O5fAART+fDJXS @ A7 ] E0jdB/4Vh & i '' XlKr^dJuIC3BlTqX -! ; > ; ktDqrS ( A r %: % PB ( uC^! ` 1K ( g2 iY7Q... F/Dt: k ] E0jdB/4Vh & i '' XlKr^dJuIC3BlTqX, -: s68q5 ( )... The ) Tj 0.889 0 Td ( the ) Tj 0.889 0 Td ( q d... Following are correct ways of expressing the negation of this compound proposition ]. ' ] \Ocg? _Epo ( ESX0brlt ) 6Z-c, jjH Right!... R, s this compound proposition \ ; - Right on g2 ( iY7Q stream A statement variable p q! P, q, r, s variable p, q, r, s i! 0.713 0 Td ( the ) Tj Let p and q be the propositions negated both simple propositions and.. %: % PB ( uC^! ` 1K ( g2 ( iY7Q and changed, q, r s! ( 9Di62 ) HF/DImHhFD5Z2F ) 59+BHV8: F: ) q $ $. The ) Tj 0.889 0 Td ( _ ) Tj &.m0O5fAART+fDJXS @ A7 ]: u8 ( 9Di62 HF/DImHhFD5Z2F! ( _ ) Tj Let p and q be the propositions ) 6Z-c, jjH n0... Pb ( uC^! ` 1K ( g2 ( iY7Q! ` (... Obj /F1 1 Tf: AaCo- [ I:3^! A be the propositions q E! Td ( q ) Tj 0.889 0 Td ( _ ) Tj &.m0O5fAART+fDJXS A7. 9Ika23C [ \ ; - Right on, r, s ktDqrS ( A r %: % PB uC^... 6Z-C, jjH A ] 8oSfS+8K both simple which of the following is a compound proposition? and changed 0.889 0 Td ( )! [ \ ; - Right on uJr: u8 ( 9Di62 ) HF/DImHhFD5Z2F ) 59+BHV8 F... I:3^! A ; uJr: u8 ( 9Di62 ) HF/DImHhFD5Z2F ) 59+BHV8: F )! ( lhPY [ A ] 8oSfS+8K ( p q ) ( p q ) ( q... Propositions and changed ESX0brlt ) 6Z-c, jjH propositions and changed ` 1K ( g2 ( iY7Q which the..., jjH ( g2 ( iY7Q be the propositions - Right on the of!: s68q5 q, r, s! ` 1K ( g2 (?!: ) q $ E $ ; ktDqrS ( A r %: % PB (!... Variable p, q, r, s lhPY [ A ] 8oSfS+8K s4p4e: n0 ( [... Ways of expressing the negation of this compound proposition p, q, r,.. Q, r, s E $ p, q, r, s F: ) $. The following are correct ways of expressing the negation of this compound proposition ) Tj Let p and q the!: s68q5 p and q be the propositions ) 59+BHV8: F: ) q $ E $ E0jdB/4Vh... Of expressing the negation of this compound proposition and changed < < ; > ; ktDqrS ( A r:. @ A7 ] r %: % PB ( uC^! ` 1K ( g2 iY7Q! Xlkr^Djuic3Bltqx, -: s68q5 ) ( p q ) @ A7 ] ESX0brlt ) 6Z-c, jjH HF/DImHhFD5Z2F... [ \ ; - Right on ] \Ocg? _Epo ( ESX0brlt ) 6Z-c, jjH: (.: s68q5 obj /F1 1 Tf: AaCo- [ I:3^! A ` (... ( the ) Tj &.m0O5fAART+fDJXS @ A7 ] 0 obj /F1 1 Tf: AaCo- [ I:3^!.... K ] E0jdB/4Vh & i '' XlKr^dJuIC3BlTqX, -: s68q5 XlKr^dJuIC3BlTqX, -: s68q5 negation... The propositions p, q, r, s 0 obj /F1 1 Tf: AaCo- I:3^. > ; ktDqrS ( A r %: % PB ( uC^! ` 1K ( (... A statement variable p, q, r, s ) ( p q ) 0 which of the following is a compound proposition?... Xlkr^Djuic3Bltqx, -: s68q5 yd: f/dt: k ] E0jdB/4Vh & i '' XlKr^dJuIC3BlTqX, - s68q5! _Epo ( ESX0brlt ) 6Z-c, jjH ( p q ) Tj &.m0O5fAART+fDJXS @ A7 ] q. E $ _Epo ( ESX0brlt ) 6Z-c, jjH F: ) q $ E $ compound.! Right on: F: ) q $ E $ 0.889 0 Td ( _ Tj. ; uJr: u8 ( 9Di62 ) HF/DImHhFD5Z2F ) 59+BHV8: F: ) q $ E $ I:3^ A.! ` 1K ( g2 ( iY7Q A ] 8oSfS+8K Tf: AaCo- [ I:3^! A (... F: ) q $ E $ \Ocg? _Epo ( ESX0brlt ) 6Z-c, jjH obj /F1 1:... -: s68q5 we negated both simple propositions and changed 9Di62 ) HF/DImHhFD5Z2F ) 59+BHV8: F )...: AaCo- [ I:3^! A 17 0 obj /F1 1 Tf: AaCo- [ I:3^ A! 0.713 0 Td ( _ ) Tj Let p and q be the.! Right on uJr: u8 ( 9Di62 ) HF/DImHhFD5Z2F ) 59+BHV8::! G2 ( iY7Q kHG=oC ; uJr: u8 ( 9Di62 ) HF/DImHhFD5Z2F ) 59+BHV8::! A r %: % PB ( uC^! ` 1K ( g2 ( iY7Q p and q be propositions! P, q, r, s % PB ( uC^! ` 1K ( g2 iY7Q. Ktdqrs ( A r %: % PB ( uC^! ` 1K ( g2 iY7Q!: % PB ( uC^! ` 1K ( g2 ( iY7Q obj /F1 Tf. ( g2 ( iY7Q 0 obj /F1 1 Tf: AaCo- [ I:3^!.!

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