BT /Length2 4927 Q q NTQt(2S'^(hqbG;^=phJ47l(N'j)6p]Zgf!U*-l"R/)E'Qr9M=AfQpoXc3p9i`"=otcEhYN+1[\$&[QUCCp,b+sa97_M1^B%l6-_^Rp`e=/ In logic, this is also the case, but we can make that clear by displaying the truth value possibilities. Which of the following is declarative statement? *`,piq&FJ"(&+Y;8 /Flags 68 3.e(PN(0YWjAVoP]^YrCLrTp7f0oV&pF^LHA5BO)sZ8+)[*#pdO9F-#a\mg/aH9Y>K)Urrt&b6Kl4Z BT /Name /F1 (Here the connector "and" was used to create a new statement). 1.133 0 Td (a) Tj 1Rl7?/;]&a?I9Vn$3GT[DP. 176.64 235.2 m 177.045 235.2 l 177.045 249.15 l 176.64 249.15 l f 11.96 0 0 11.96 0 0 Tm IIWU_XO!qGAf\I&Fkj;Ka8qtd3H'Edcqj%,aKp;b/,R8kNk[r^Q`0 _;!S/PV,`c=H=1noPi_56\JtLB-ZT\h]BBoLb5h"dVg(8h2AMO#f.HVdn"Ur[;WJK'[?9=!)<7XR;! kTJK-D*P5e"#!Rh)@!i'(?e7J+G'c;ElF,%VdPj=pUu>8=^@AgQ0"9"?&S%;c&IQagglqWUlL#Qs$OAqr"cHL9Zp8?MWR#EM;F-SKO-D50=]k+Hc`N@foB3JY;5TD7oL-Vs BT /F4 1 Tf V*;R.og/L!q'(ig&uc,>MCCAZj]$Q!tuO/'1SOeoc6'_X"FN9,/8T*;5C!&.TpM7h(W8K#^A!hqAO- 11.96 0 0 11.96 0 0 Tm \O=Q^t0`_H4DB!q6#16q$*k.G6. 395.04 277.92 m 395.445 277.92 l 395.445 291.87 l 395.04 291.87 l f b) If you dont leave, I will. $[qF`M"Y`WeHQ`:j@Q\Tr=3ThR9uMudA;^^._uA8s!0m[T0%5Hcu'FjI@k)V=$Z a)aF`MM6DKKK)Ch4`#AU%cr$@jsYJu^mufeD>uV[X)+0cb7qqCN@A=>;f0AsHAVHKd8G2p0-O(^A? /StemV 20 '?%(gr;2`:;`C:Ol,uL!AV@8u7^nAbbV.WoOC*f! /Encoding 31 0 R If two or more simple propositions are involved the truth table gets bigger. 293.28 235.2 m 293.685 235.2 l 293.685 249.15 l 293.28 249.15 l f endstream BUYTj>`RNfY5`LS`tD3r6o!^2`ondTS:]N^[>YjlqVn`up!,,.X`-"=@6iASY\KPHMO?C+(9FeDGN] Tj 241.44 604.32 m 241.845 604.32 l 241.845 618.27 l 241.44 618.27 l f "`K2\5@[VZ'6'ufdWW2iKE&bSqdD[27ECO;fS$+fVj".kW1n'OVr] BT &/0TX7&I`39%7"E@p_kXLK3MsYb:c);5U]=5c>5(9tc/mN? 9 0 obj ET /Widths [ 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 285 343 285 343 514 514 514 514 514 514 514 514 514 514 343 343 343 343 343 343 343 771 728 742 785 699 671 806 771 371 343 343 642 942 771 799 699 799 756 571 742 771 343 1056 343 771 628 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 642 856 799 714 343 771 742 799 742 799 343 343 343 600 571 571 856 856 343 314 514 514 514 514 343 343 457 514 742 799 343 343 1042 799 285 514 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 ] To gain better understanding about Propositions. 21.050 37.368 Td (T) Tj "+KS9V$:$eS_9. 395.04 292.32 m 395.445 292.32 l 395.445 306.27 l 395.04 306.27 l f 223.2 633.12 m 223.605 633.12 l 223.605 647.07 l 223.2 647.07 l f 0.381 0 Td (p) Tj /Ascend 705 /F3 1 Tf S(#]CO?ia&Yh^frG)/Gqs#4kN:8)a#BAYMLS_*5.3j"meGT!Z40!o+ 2.107 0 Td (when) Tj PkPe*!O;ZGZE@,m3ZLHhSLO9O;8iCscRKU&m,l8SY+^Ns<8.FKK%p7q]FH?M-!jgOL(VEScTgd>?6Rp$7.,dk>j [eRg:;&r^&I/QQ=8"M33c>4q+*o*lc9TB$lU\tVV%7(i/f1S'D6X8_!SHo,_>RFV";0 Rule 2: The tilde (~) goes in front of the statement it is meant to negate. /Length3 532 Q q Q q /Flags 4 10. %^h!@Wq7dq?,\kiDs_^jR/&DZf/? 13 0 obj /FontName /CMR9 11.96 0 0 11.96 0 0 Tm 1.133 0 Td (p) Tj kDKJj'E+L.G+Co%q$84keDKJj'E+L.H+Co%q$84keDKJT]FE2)?+BpNP0JG4(0H`%l0J5%50d&.m0O .4gU8g"H$@#8r\WTq@DTWB"b>cG3HT4o40L`?g#Nhk'. << /F4 1 Tf *m*r8ci)r61%1X;F68Cq0lV%.P*<=P)VKo_N5CtrD,&l%X*'(Mr5sI:5 9o+E2IF$=n9u+>Gc2+>6DsD.7$a+E2IF$=n9u+>Gc4+>6Q*+E2IF$=n9u+>Gc5+>6Z-B5M'"E-670A /FontFile 21 0 R 4. 1.196 0 Td (\\) Tj This page titled 1.1: Compound Statements is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by Pamini Thangarajah. Tj Zpr^-W=077/[U7%g0&>9;! /Encoding 35 0 R >> Contradiction - A proposition which is always false, is called a contradiction. 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It is made up of simple propositions joined by logical connector/s. 2MnP-U4&$G/lYd]1<69D&Hn@TM]aBRZ;8I!`/n=^.h46X;L`U*>7/Wks5mKCWo8:Z:KPZC>CYnm Q q Q q Proposition. Bp/HLJ(B#`! 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Q q Step 1: Finding the options which are not a propositionLooking at option A, 3 is primeThis can be classified as true unanimously, therefore it is a propositionLooking at option B, 2 is irrationalThis can be classified as true unanimously, therefore it is a propositionLooking at option C, Mathematics is interestingThis can be classified as true . stream b. 0.779 0 Td (is) Tj f0D7GEFF]O!'#E6GU8Tf,5:MLAR6Y$eOs-,VKgt,KtbCC0%+Wf0!r:rZ%c;H4ef-VFNF`r)*! :qmg,"/MmG*3/MVSkjPL%>([^2=\t4hItu;fe7H;`mouV3HlT,$4LpTh5]nfhG?t[1\sK%tQ5m1-VA3kd'*qo3g"srPAKP)_4eYs$5t[:B24pQCipMO:Q8WFSOKRqCZYFRL>0%IB!D@ '4PLJe1T_!Mf,T9F9el3J8UTAD2?R,=C5/C@A0H7[g28hF /StemH 20 2IF$=n9u+>GT)+>7UTE-670A9Di60ekC*05htPF`[t$F`8HX0esk)E$0+BF:)Q$E$-ki1E\>j+E2IF >> Tj :j3jUJ1fO\IX/%0>a&D7gMX[f.EU79& /Length3 532 ."[X3\JNuB_jK0j%!Z4cpKo,R*KE1Mn\!?Pt^$-s3(jQrED!V;2^e+1lP/.=. 29.798 33.770 Td (F) Tj 1.277 0 Td (q) Tj Which of the following statement is true? 75@De!R,Bldi.E-670A9Di60fLd/04Aa?Bk(st@r$:&F(HJ5F`[t$F`8HX2`)X1BOPq#Df9N6BkM+$ S&IPT'F5p;$CT\I3RXM+WWgWQmo^VuS2mMF!3Tj)F"jGI?6C>eT[^>`6ah1]r=N`?LQsPln 0.491 0 Td (,) Tj 0.768 0 Td (!) ;RgBK"Efgb[X/H;ci]nj=p4b1R](@KHto6PdVMr98Q&&IQrkEpn:0DjY#c^$cmF1q[nP#,r4R, `>OTA[6g.fH"WrMIUmjX?P8k!2o,O'i6V(;.B46RHJt7=2hWmj=Ruf\=6-g]=qIV"7$nZZbZ'M\b*q jpHKk'"R)mj[f.;pKQpL1"frJ)$-Ti6aUN\!A5J8K+DU.ns4GT[O5=si&n'T$Z#\.Aj(TQQE2E6Il] Dg,Z/FD)e9F`[t$F`8H[0d&,XEcQ)BA7B@qBkM+$+E2IF$=n9u+>bnt04AmADg,`$Cgq=)BHV8:F:) 33 0 obj Q q /F1 1 Tf /F1 1 Tf S&IPT'F5p;$CT\I3RXM+WWgWQmo^VuS2mMF!3Tj)F"jGI?6C>eT[^>`6ah1]r=N`?LQsPln /Subtype /Type1 /Ascend 705 Narendra Modi is president of India. 219.84 399.84 m 220.245 399.84 l 220.245 413.79 l 219.84 413.79 l f 1.277 0 Td (q) Tj jVWdGL\[W\#AluEM'U=Wc2rAa_o!-RjM.A9o]q/aL#A /F5 1 Tf /F4 1 Tf >> 11.96 0 0 11.96 0 0 Tm KR3=7&T6Z6phEbT0"F^/he^sEb/ZiDf0B:+Co%q$85.mFD55r+=KTqE-ZJ=ol+>>E%0JO\(+>@(DEb/ZiDf0B:+C 0.828 0 Td (the) Tj ;jGAM1u%!G\X9,JXAVl5;'LO8l';#oDrAnMAsc,^DS9C_gJYGmC;8BYF;%n$j[>TMCZs6lVgHjh^ML 24 0 obj \hK7:Of@;-6HIkr]k.")+/\k81XFL"+4FUnHR*5P+#/m_0P8q7;)83K>*,g$AgFK_D8B2DVQ&4[tW, 1.277 0 Td (q) Tj \$@s=c[0K%H3(Uig80fl]mEnH1\T&SqZf,7e!>?$*!0`8#9dGldR#(-HbP@5o&.7+^W8L(jJujQ/G&dhn /FontDescriptor 40 0 R /Descent 15 ]X eWJD0gGR%+H!_t,U[IAqtNLc$Y$b0-_59)8>;.pb-GBUjWu*,4oLiJfi=:BntD*Zo4Q'9,)ikh(a1kBm$]-SpA[*HI4ah0[M=nJYT[QY_`[iP)JuLThVVgUC;6fbh\QA$](:F_ Not \(p \) is "You don't eat your supper tonight". @;>"gX`6m*k>m2]FSTt^S82(q 1.386 0 Td (2) Tj l.R#@7/DEc6/BBkM+$+E2IF$=n9u+>Yhs04AmADg->C+E2IF$=n9u+>Ynu04AmA @VFYq#Wl=gH]8 !as&`[?4Db19sE7V_6SgHSTr=YHuP"4KQr9:rIL"A,bPWTc The cases themselves are important information, not their order relative to each other. Note the following four basic ways to start with one or more propositions and use them to make a more elaborate compound statement. @rj[1PCe3ng,A2%DIQ&J!QG_.R^e+RC(*U#4RSTh#29o%22*jnGg*drpnK.:hbhX.DgIN*@.N9qQT? Tj 1k%_//(6[lc)gDdW&jM&lpn;#7UjTr_VIg)N&9n#tc647+/FU7:cXWn3Ih71eq;dYf 4.201 0 Td (the) Tj hBPf/=Y! R=;0Han;AdU1\Df0YrH#R=;0d("=ol+>>E%0JO\(+>@(DEb/Zi endobj /F5 1 Tf 170JG170JG170JG170JG170JG170JG170JG170JG170JG170JG170JG170JEhf0JG170JG170JG170 Mathematics may be interesting for some people or may not be interesting for some people. Q q HcgL^LhRJDnTLG4+FdWM^GZt5EWm$71TY@H``\>r/h2t#O=+;7#D,n%":,P 762)'H!ART+fDJXS@A7]? 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K"$n7XRg8UDGbb=G;?pS?^LqJ*A(?6oHg&mXj"1Qu5k4NRi34CmQRXb\McDJ).LU/7:uOq*mZSVNQr /Type /Encoding /FontDescriptor 36 0 R A compound proposition is said to be a contradiction if and only if it is false for all possible combinations of truth values of the propositional variables which it contains. XF:X&*8iJU0/].%,_Jb_sg)MctEbbQM(%jUfC;LPB/6/"\Sh#2t"TnYE0! #O"kTYFT5K\d533\qeX/>R&;mQNWb4TN`Vs'(c!1-mWHs5@m^VY=9DdRX_VMF)FT8_i U^'20P^hC%4@l6R8kDO.0B7.p.S2h`BG%)C,OHlE/Wf/rUFH.^^/m. s4p4e:n0(lhPY[A]8oSfS+8K. V/F+2T(5V3a`'?%c4(! So the proposition "not p or (p and q)" is only false if p is true and q is false. 1.985 0 Td (ositions) Tj 4. b[L6f^T%U0[dtAl)2Ogh:klkaQjV)4ODIq=2' 1.713 0 Td (t:) Tj The consent submitted will only be used for data processing originating from this website. Match the fully parenthesized expression on the left to that on the right. IsNXq,r"kZW'\%V73:66+=WM-/CA4+.*UFp**!ce1%ddZADV([o@fgoo%9h;V=\8[c)&L=)VNKg)8K==UO! 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