which of the following is a compound proposition?

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Tj 35.573 34.969 Td (T) Tj -28.460 -1.166 Td (is) Tj 'b3/3Q*g]J7s,FscZB7jTa>"f7)O(4CPfo(BGJQU]>)&`@f3UU7GDuplfmc'*'JCn_s&jr5d' -c*De"tE/$X>bAt_j]52'EmJV[+-`g!T\PIjS+g4&$t!^6:m;^]!3Gshe=Q3`:p)Otq3Yq@`7Xk\=N[s1.oRFh"3e"T[8L_$,P:X[-l:Un?Ht72]GHGho^lMCXU 223.2 633.12 m 223.605 633.12 l 223.605 647.07 l 223.2 647.07 l f 22 0 obj /Encoding 39 0 R /F1 1 Tf In an ordinary deck of fifty-two playing cards, for how many cards is it truea) that This card is a ten and this card is a heart? 34 0 obj False: c. May be True or False: d. Can't say: View Answer Report Discuss Too . /LastChar 255 JjH,t:W]g8rC41Btd"k"Lk9?K]i\Z9M?P"`mDL't4m "EW4CA(IqpG\YA43^,GuF@-MH(Bm3M TH9\sa2s7cgMl;c(JZo0U\j/W:)Fb]fV8SoP'uBH /Type /FontDescriptor tC)lJ#H7M"NVYO!hN*MZ5mG(q0C;+AY&d''eX.Zj9,UdGFY LfCMb:$R[1;EM^Qk;A$pa/M*o"*[ /ItalicAngle -14 0.489 0 Td (e,) Tj hBPf/=Y! *&"@:X:oCj@.6AS)9&7W30d6:,U8HS%!5+>#T30H`))0fC.52`6#(ART+fDJXS@A7]? Tji.Y=I-%R*>;R\N?\&rOnmm+oW$`56Z#+ir+B.f[#MEJtoRHH5DAiE038"EuP]Z%tMh4Ne@4J7!KJMUu8$n98CP"G4=i0+G.:us%!P*@hfNtrO1Y6tUrdD)3m5Ei. For instance, the following are propositions: "Paris is in France" (true), "London is in Denmark" (false), "2 < 4" (true), "4 = 7 (false)". 0.848 0 Td (ying) Tj (Or both!) E^jI'>i)XnMfK2B'g"(=\! 22.629 52.019 Td (CHAPTER) Tj /F1 1 Tf ;RgBK"Efgb[X/H;ci]nj=p4b1R](@KHto6PdVMr98Q&&IQrkEpn:0DjY#c^$cmF1q[nP#,r4R, [eRg:;&r^&I/QQ=8"M33c>4q+*o*lc9TB$lU\tVV%7(i/f1S'D6X8_!SHo,_>RFV";0 X2`)X1@;Kmr@3BN3F:)Q$E$-ko2'=P]ATV?'E-670A9Di60fM$604\X1FC? /F4 1 Tf << eWJD0gGR%+H!_t,U[IAqtNLc$Y$b0-_59)8>;.pb-GBUjWu*,4oLiJfi=:BntD*Zo4Q'9,)ikh(a1kBm$]-SpA[*HI4ah0[M=nJYT[QY_`[iP)JuLThVVgUC;6fbh\QA$](:F_ /F4 1 Tf [01BbgDe*R"B-8re2BZFKEaa5#0H`(m1,Up3HSHXWDId='+D#e-BHSr\DJsW-AS*'(F``$S Nothing in the world is as sad as a crying clown. Some of our partners may process your data as a part of their legitimate business interest without asking for consent. 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Counter-example: An example that disproves a mathematical proposition or statement. 11.96 0 0 11.96 0 0 Tm +>7YNAKYr7F:)Q$E$."p+>7eMGT^sJF:)Q$E$."q+>7eIG%GP6E-670A9Di62)cX2DJ=! >> 1.774 0 Td (con) Tj [fj%858sr/XpLebEAJn\J5+e0gdfY2c`K@\sBA-XB$0,:#J$F33hrp>VkQ,UFIO4okUf,mYk 3.687 0 Td (:) Tj ),Z0V ]hW:9(RpP/?Nm8\/(?.\kaA?oOFmpJ>+< 11.96 0 0 11.96 0 0 Tm 28.844 55.685 Td (e) Tj ET Q q /FontName /MSAM10 qj4aqF]W8QtoFoHq`ej/u6>K)c*H=Q983`^Sfh@@r/+#XH'>9g?ar[ZUULWLWp /F1 1 Tf ET BT lC.$4Y()"tVDZdHf\B7erWr.GVh6OPC[*(XJY80>qL,aK'7mo^>_]a. :-mmj4K@&N[8D?CP#'^+:!7=K@%"7nA [ /PDF /Text /ImageB /ImageC /ImageI ] pTQ;F!P*TsqT^gafD$Le_u.QC7^oG;/GRY\PAM>4'm]4l!RlVkI+>PX%K)9uGkZp3N1%?2C"a2_+Uk Q q We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. 186.72 675.36 m 425.643 675.36 l 425.643 675.765 l 186.72 675.765 l f /F5 1 Tf /FontName /CMR9 /Ascend 705 Then the contrapositive of P is if \(\neg q\) then \(\neg p.\). 2`[]G)E?Zs#S;gSXFb$4)8Pl43*"Q3g^;BB0=-=QfMlN[k$"nl(LP`^YSM?hSX0-RHBCkA@O:N1=Lc @;>"gX`6m*k>m2]FSTt^S82(q endstream 16.729 23.604 Td (T) Tj A2sCTWnjAQ?037L6cT[)pI"oeB[)qA-71A@7ZBNgH0X9Uc1]E82)[b$j#KSUW=H7;C+:Zi:KdDWB'S 0.400 0 Td (e) Tj Q(+>759Bl%L$B5D-kFGT++>7bDA8,O^C`m\>F: F:)Q$E$-kh2'=Pd+E2IF$=n9u+>GQ.+>7IPE-670A9Di60ebO/05D\LF`[t$F`8HX0K:1.C`m\>F:) 11.96 0 0 11.96 0 0 Tm /F6 1 Tf Continue with Recommended Cookies. 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A Proposition or a statement or logical sentence is a declarative sentence which is either true or false. k?GoNV@ajr24l6b]H-5\h_@k1DA&CYUL!*8\)@oPCkXHo$ME>k!db^;f^P>]TmRo#? << (p_q)is a tautology. 7WF&p@6[T26m#rEYcK]N3KnB)St=YC,AM-k,PH3h8Z]iAJkc+m?bl"#f$@DBbc2/2m:s7Z@caE=e&o endobj /F5 1 Tf 1.026 0 Td (in) Tj Q q 2.229 0 Td (alen) Tj ET gE#!i-79a0Q`V+>O#4V!e`LEJQVgq5h5IdOsEDk);UVPB-8*XMp^1K2>!r:iqA5f'Mfu /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 ] /Descent -225 Q q @L@2W6BK;LC@Y_gO7JOSfB&Kai*VniZjPiZba:H,A6CD; /F1 1 Tf << 1.386 0 Td (2) Tj 'E^aNd6Tj)h)0qJ!hK/$o$YHV"*'Z\MGmH^p#$83/`=kaau$aYl[=sgf*ldl=J-"[rFUqJWq$9T^WF?/1L?L ',AKDDYg_X`0Zn#@Q*=n[r*0\O/[t,Cq"c%7(1\DCg*]OABXd_GI>'9TVRnEU3O-2gsHn&g*\h) NWcK\!Jt'(qT;NN=9SQp[T;Dl\>Fblh4Kk-ng0FsT]#d2tSMr>2tmlNQf#U=;10A*$FE7Qb0B)!UI^5c%gME9^Jb=mZQ /Name /F4 15.223 20.005 Td (F) Tj f7+>7eEFD5f.Bk;?.E-670A9Di60fUj004\O. `rDW@QIqbidBMQ[V8Y%SY[6q#26bg^H%Vi5^n&9m[hN!`)*:):q1Ae5FS"YCG)bN0cC1;#""Bp-gSP 0.597 0 Td (Chec) Tj LfCMb:$R[1;EM^Qk;A$pa/M*o"*[ /BaseFont /CMSY10 BT 2.288 0 Td (e) Tj /F4 1 Tf 1.985 0 Td (o-) Tj A compound proposition that is always _____ is called a contradiction. 24 0 obj XP1Dkh-@*-``P! gt;sqiD@uYpXiZ3q,1bSkVFOVQ@&^B"[PQZskHjT1d(Gmp8g?#L"!DX\fn6]sNe@7#_1S]);\%@Ghe /FontDescriptor 40 0 R s/l4?V;gnFD#Y9AOWa#JO,+cops+,;f'*Llc&2mC])A8SL?&&"ANR]lODPfC5cLBela1288['X)pR3 /StemH 20 (d) pis false aud 4 is false. Q q 0.768 0 Td ($) Tj >> /F5 1 Tf 0.713 0 Td (Y) Tj $+)BlldJEE=t>rq-"j$J&/Yo9rPj%/(=afJorIYKpX!7l(LC,-3YFo^8A3eP$7i#_VY4h47_4^fh<7SK5Vin.sUEphEZ,%G/PU ]=ptWiN\'5mW(dAE8gN5&T-dh?WZT5(>)ieU@c?_QSTbGHhD*M1THI)+oDT`\TOt/hQehFgl6r5]rj60O\^$>eZ=ImEL8(emJ&ua#`+f ;3HHMgV8*,h^CA_26>!d"C:P\3[mB5R-,*s>d1*Jt(4-U!m+Bq\`I9Zo`"TLZEF,hU&.o9E6o?>n0, ;qY^A3p)OJFT/\de&<6I:`(0mWsh2Q)Mp?G 1k%_//(6[lc)gDdW&jM&lpn;#7UjTr_VIg)N&9n#tc647+/FU7:cXWn3Ih71eq;dYf (04Z2EF`[t$F`8HX0JO\'AKYr7F:)Q$E$-kh1*A5^+E2IF$=n9u+>GQ++>7@ME-670A9Di60ebF,05 So there! H=K]EOt>HU",L\,C3\fmPlSm6VT?0oV5EXp7:s;pc6@d%Q(#>N*a59uupb1EuhCUYQ`p(l=,_)PLUqe& As the truth table indicates, only when both of the component propositions are true is the compound conjunction statement true: Consider statements \(p:= \,1 + 1 = 2\) and \(q:=\,2 < 5\). 33.545 50.870 Td (T) Tj 9o+E2IF$=n9u+>Gc2+>6DsD.7$a+E2IF$=n9u+>Gc4+>6Q*+E2IF$=n9u+>Gc5+>6Z-B5M'"E-670A :-mmj4K@&N[8D?CP#'^+:!7=K@%"7nA $+['<>hRbdJaDQTI%'e52`k$CE^^e+QSbG.89`2s4M(5Bsd4lKaPN!38Ar(E2$^je6+!6[5LCeBnZn During the interval between the two innings, the commentator announced that 70,229 people were there in the stadium. 19.127 54.468 Td (F) Tj ]2o2#q5M[8Jq-]&s58M))"V(l?2fe::i@S;]RuQZKiiISCUeTkCeb(lE(g^ma.ZNoT@Qf;9`p_b-4@ gHRsVG%? >> 17 0 obj Q q 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. 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