which of the following is a compound proposition?

Find parametrizations to model the motion of a particle that starts at (-a, 0) and traces the ellipse (x/a) + (y/b) = 1, a > 0, b > 0, twice clockwise. C!S'[A^?k1)'Q&Iud&lPe#,([:Tb"[t8doe`7g)0eW8B4oV7o@-XA$qGWPG\X1"0f^QX6.,OE<2p7D )`/OGK&$7-ucEb/[$Bl@lW@'A+>Gl:0d&c)B-8r`+>Gc81H@ 15.297 24.803 Td (p) Tj ET 18.828 36.169 Td (T) Tj 'fp5E5,`pBC'G)n&mWH\?mg(3?m-0:%KtE=FhI"XAK'mEib@qO=+9HI9;u"P7Cjl@6A2s Tj gHRsVG%? @_2EJ^Q7SU`Vd/VG-c$!%e:P+LB?bJk4&r[b(;CZdqB=DG5 \(\neg\) is the mathematical notation used to mean "not.". e`7SYai38%Z9>8/#@mqYfI:0\@h@VQ!SOi*MLHM6)#)96dZcA=8jr-sS?f-c28oMdZl73!mO,pYUc=to c&aqN4RA,a2qHY\&%;W.3AZbDgjm\Z4N.kfdH?'] \O=Q^t0`_H4DB!q6#16q$*k.G6. 11.96 0 0 11.96 0 0 Tm 25.395 46.293 Td (q) Tj Q q Therefore, the compound proposition is only true when the truth values of p and q match. 3.236 0 Td (what) Tj (T11(2k0VUbW&qo&P).77K92,YLr;Q68]VG5K&+JEKQ(/K)^=a4m+*(l0 /CapHeight 0 BT ET endobj BT 24 0 obj ZMYc$g#0a+EJ8Q]]98RKs^XIAf5O1E`pJrm(jW+),YejHZbo2*d7Yso@u-g=\o6. /Descent 15 From a false premise we can derive any conclusion (check the truth table of ). Nothing in the world is as sad as a crying clown. Tj Zpr^-W=077/[U7%g0&>9;! t'gPXEif6:uUJ'#-#Ne!nE?$5M=Zk2=-`j,+"DPZf:i. @(DEb/ZiDf0B:+Co%q$84hc@rGmlDJ((I2)ZRcEcPT6$8Pf3+F>gcBl7HmGT^RB@qZuGc/+>7SGDKU"CE-670A9Di60fCd005tKCBl@NlASuU$Eb/c(E-670A9D Ro4T#_XsULr+J]t$jPjL3QLIRf8UB&>M5T`&cj+9N'4ito\Wtu9%!QQ^2s5-k]!+p%!ZUhg!LLp>BK '6Q"]c7Bq'!/TS^_fHL(OEC^5AgjY[/%4@tn`l5!NoWM1=jD[YW1G6>[H1;TN3#T1 << 2.093 0 Td (k) Tj R=;0Han;AdU1\Df0YrH#R=;0d("=ol+>>E%0JO\(+>@(DEb/Zi :'`rh3Ys99%6Yp#PMl@j>L+$dp^H8a7AI]V3S27!+ZF*"]GJ-bVYY=9[%`NA` << 0.713 0 Td (^) Tj /ItalicAngle -14 In logic, this is also the case, but we can make that clear by displaying the truth value possibilities. 1.713 0 Td (t) Tj MU>(nY8.d2OupH/.KG12B6+gFn"1gaA`&`AILaKsq6K?S]@,6Uq">#C?QC3SITSsHpNSEeYqF14>5( /F1 1 Tf kTJK-D*P5e"#!Rh)@!i'(?e7J+G'c;ElF,%VdPj=pUu>8=^@AgQ0"9"?&S%;c&IQagglqWUlL#Qs$OAqr"cHL9Zp8?MWR#EM;F-SKO-D50=]k+Hc`N@foB3JY;5TD7oL-Vs BT 'b3/3Q*g]J7s,FscZB7jTa>"f7)O(4CPfo(BGJQU]>)&`@f3UU7GDuplfmc'*'JCn_s&jr5d' << Q q [SKR=2In#i ET Q1: Which of the following is a compound proposition? _p"a$$0YR^o8-ZoDQ.(DrZr&OtJ"t2*X@W_-T=:47>Ql11;'JjPH6KOQWUh#e\cAgQ7co/\eM^caY. BT /F6 1 Tf ]_=WC@&NZK:JU4O&' ,WnXaMq#cBR[0pfrICr(d#4/r#_INfU6dCoP`8t:jsR8-LE(AT*mSo"pe2TL:(m*gp]PP:9kbN:)UDIlo4I:Z;b+N-_NW'h[c7S3tA,YfJ\L[RFGS/smUo`HDdFPT`*Na4E$aH`"fT\sV)jm_94TH!NVd?HJm9IiZo897NGiB'i/PHa5nThSA9SqndGJ-O57,_A";m,+>WH:I.mDklm8N7]SUE*U Let p denote the statement: "I finish my homework before dinner", q: "It rains" and r: "I will go for a walk", the representative of the following statement: if I finish my homework before dinner and it does not rain, then I will go for walk is. :r=f2AV7VS9d"ZNYYMJnI)?*t3==:jR;YfJ#B`>b(Eo?Qretoe:f#I%9]_GUSn,WYr$#_.I/CCqN0+'I. -17.795 -1.782 Td (p) Tj 6.115 0 Td (or,) Tj 1.716 0 Td (bi-) Tj 3.e(PN(0YWjAVoP]^YrCLrTp7f0oV&pF^LHA5BO)sZ8+)[*#pdO9F-#a\mg/aH9Y>K)Urrt&b6Kl4Z 3.503 0 Td (of) Tj Tj 1.036 0 Td (married) Tj puO&][XPK7A.mB,>u'X=Y;@1A^MDI;VAn8]Yb*F?enqu'KKT?QNg@-&2_kgYDWf(>dE]h)3@b@Aq8LS= 276.48 647.04 m 276.885 647.04 l 276.885 660.99 l 276.48 660.99 l f N!IHNfu4bho4ANe54,PNTa1?=uKOJ[u96:/hiBEO(!.%j\tA! :j3jUJ1fO\IX/%0>a&D7gMX[f.EU79& 28.446 23.604 Td (T) Tj ? Which of the following statement is a proposition? 0.889 0 Td (\() Tj :iFGDMgKauLHeW+UP--jgH]WM=^"TaEA /LastChar 255 BT 1.716 0 Td (prop) Tj \4$)\mqWb&r1)kOTiFuQ,ij0jhCY!:ggY_=ndG'V;ZmCHn(U:?.cW'dDWK+d/>VFC&? 30 0 obj 41 0 obj /F4 1 Tf Q q aU$BPmEW_VKh@m&*1W#YB2S7h(nZgMjX! 0.622 0 Td (q) Tj HcgL^LhRJDnTLG4+FdWM^GZt5EWm$71TY@H``\>r/h2t#O=+;7#D,n%":,P ]#`<>&caeAS+4N4YkB8F&ChWj=a;i,L`=-=?HbQ]3r"lTGk[DUM+Z1bq^a^/&. ?.bo1O-3t\C/tQ%gB Zu2%016q%F`[t$F`8H]3?TtD+E2IF$=n9u+?(ts01I('F`[t$F`8H^0d&,>+E2IF$=n9u+? /F1 1 Tf *"c38SK;a.J.o"Hd-YrD)CA!6?pjaZR^##\]Q2+h%CK3\r;Rb\/,BoEneKa2le/56+7VpA:qNMq#=r->)r4A'"&.J8&&DZBj#^B#&--nX4Yus*kKgJRO3&"\PT0t@o#jjDL 11.96 0 0 11.96 0 0 Tm Solve the following system of linear equations using Gaussian elimination with back-substitution : (T11(2k0VUbW&qo&P).77K92,YLr;Q68]VG5K&+JEKQ(/K)^=a4m+*(l0 8fW5$IIQ;(\*l+((@H=P#d:SekbK0#t2p-J$>2^V/&S;i 1.094 0 Td (the) Tj 434.88 235.2 m 435.285 235.2 l 435.285 249.15 l 434.88 249.15 l f Non-examples: What a beautiful evening! 1D:[I._J3$.k"Y:hVS)\(O$nRT9O%M%DFhmNNR#\1o5[*diLP4j_q8&i\3rA67s^%CpPtrE=DTcGQr 27.132 54.468 Td (F) Tj 1.222 0 Td (p) Tj 11.96 0 0 11.96 0 0 Tm 2.311 0 Td (Illinois) Tj Q q K"$n7XRg8UDGbb=G;?pS?^LqJ*A(?6oHg&mXj"1Qu5k4NRi34CmQRXb\McDJ).LU/7:uOq*mZSVNQr )6uGh/i:OBEhFZ([UY,.3:VY%c%C>dD([cY'l@?4=I6.mFV\)*q,;hV?`$YDPtXI,\T]4%,o@8(2 Q q Q q /Descent -225 endstream /F5 1 Tf #O"kTYFT5K\d533\qeX/>R&;mQNWb4TN`Vs'(c!1-mWHs5@m^VY=9DdRX_VMF)FT8_i ?/8o4)N*VV$[$S"1Tr6-Pd@, d@9ALCC?Hp((a@lm:Lk(/Et+.b?rLJr5EcW._M6PMdr]94q,++.t&d6N2T=PNa)EB7j&]+]Be>u&uZ*d:e1/H#f;^kO8>]][ZWW,`VJsj74a9"cX+)]N'3&qB%V$E%d& See Answer See Answer See Answer done loading. 33.545 50.870 Td (T) Tj 34 0 obj "q+>7S?E-$,>+E2IF$=n9u+>l&"06M/HG%G]8@;I' '2_9aDQAHJf3W#6sIW'r$Xm!,"e)HE4!Ti^NM,s!Q&s6ui-H_`>j4/)@lu!h+?/FoZ5iGrrXcUlZ"*psF&diHVYG`\SX'G7Xj If you would like to change your settings or withdraw consent at any time, the link to do so is in our privacy policy accessible from our home page.. 34 0 obj T_#uSdtU!=m"#e+_*H(;DfM-f_rUM/cPKo3@!7r QkTr,l;u>U!p3!ehN9[V86d&l]i+D%,'0CH[PXk`&G>(To:L3lUrP3[ba`;eYHnI!QTG3h1IJ'6nCH X&h?b)gPD/==D6a]qt$bk\iffQqdeQgXngdek=*7n/6Vt(3'YG[Hh)QPStl%)"!M^B?.RGPET[mp>G This is called the Principle of Explosion. Q q s#7,)t+4QL`N[Tb+X8T/\)S0JUZAl(:sOuX_$?uGi?jEfrUMfgnp1`B4gA[Zmck'pL+U9o@#QOaD3_Dn\/qM]sMu'KXVYmTGnmok6sL+X_W!GV0DF$an ;jGAM1u%!G\X9,JXAVl5;'LO8l';#oDrAnMAsc,^DS9C_gJYGmC;8BYF;%n$j[>TMCZs6lVgHjh^ML Then the contrapositive of P is if \(\neg q\) then \(\neg p.\). oTJ,%#!&@&6TR+&%2Qd2_CRfe?o"Ymt?b00Pq*bA:dh3]lJo=)r=Q`9jNFP"E6hU8&+1Ti3ZG5[i)Z 6?&NLRbcOX! 2. 3.522 0 Td (for) Tj MM7jpA:*,?bai[84\]APZSAY4*^]BKPR3B/a)h)!M+^3q^)e]Ha3sM.IX_Nu2,Fru0jU=+M/m!,^,5nqa.up6bf,cl Tautology: A statement that is always true, and a truth table yields only true results. 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In English, we know these four propositions don't say the same thing. 253.44 292.32 m 253.845 292.32 l 253.845 306.27 l 253.44 306.27 l f /BaseFont /CMSY10 0.747 0 Td (!) /F4 1 Tf 0.957 0 Td (ouse) Tj PDFs for offline use. We take free online Practice/Mock test for exam preparation. Each MCQ is open for further discussion on discussion page. 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The cases themselves are important information, not their order relative to each other. 1.122 0 Td (pr) Tj 2016 will be the lead year. 11.96 0 0 11.96 0 0 Tm iB8!uDEb]Y4ONN9?RdfE3EJZgR=McZ"-oJ>GAd3c$ka/KYNV0PLVeqnTSI0uR)_1LPUU^9g)J^317; BT /BaseFont /CMTI12 PkPe*!O;ZGZE@,m3ZLHhSLO9O;8iCscRKU&m,l8SY+^Ns<8.FKK%p7q]FH?M-!jgOL(VEScTgd>?6Rp$7.,dk>j /Name /F4 << 11.96 0 0 11.96 0 0 Tm 32.252 24.803 Td (\)) Tj 1Mc&%sHD&ETa%t?cK(WRE]':bQ+$SGUc;M8#B#=kfrMYoTCFjp=[P%$'pC4k=uo/B`k*XTh-[LKS#^hBr$+n/IBh3_338-Wg6mpsRcTN`is@kqYfAg)]BL]%kM^Ea+&`\>tm << 23.272 38.568 Td (p) Tj \$@s=c[0K%H3(Uig80fl]mEnH1\T&SqZf,7e!>?$*!0`8#9dGldR#(-HbP@5o&.7+^W8L(jJujQ/G&dhn )F.WY&h(qI/'UPI9--nLU5`;RE@S,Q\UI9KcegVKd>%lLr]fCW7tY)YWfPols6nPfif;b3Qe>>M << This is a compound proposition because the sentence has a logical connective between the . ;_l%ngb\EuBqH6l"3F+;m:$H)[I4<5CO1l?e4cb&3AIlcPE*YB Example \ (\PageIndex {1}\): Some Propositions "Four is even,", "\ (4 \in \ {1,3, 5\}\)" and "\ (43 > 21\)" are propositions. g]q(Z"T,/%.MIC)J,,b&k/?=^"lom50f-dNXdY[_?1Cs;cML9)?=YGBfJ6=F:_HDT(tKf&IU"cjl6> W#"SCjS[P6?SYsa6p$? /F5 1 Tf /Length1 2627 The contrapositive of a Conditional Statement, \(q\): [The lines] intersect to form a right angle. 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