which of the following is a compound proposition?

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Q q ;Pm[f+K_)a1'$:FQi:*L(oLP%c1#u#rh$%DYDJ`C10(kY:;NYpQdbphN7X>jH4RM,Fj-3og4d_6[>W 3.811 0 Td (then) Tj /Length2 17614 Which of the following is not a proposition? /BaseEncoding /MacRomanEncoding /F1 1 Tf Q q (I^#h/a,u"rKqgF0aL4k/k3h*hepN5fHpWYBR80&F0g1#adpo4Dj15#.VB& ''nkh'n>I+L>G,)7J=E1E5LG!I+q1t^AE+D[P]G(Z2,`FX)m0 :qmg,"/MmG*3/MVSkjPL%>([^2=\t4hItu;fe7H;`mouV3HlT,$4LpTh5]nfhG?t[1\sK%tQ5m1-VA3kd'*qo3g"srPAKP)_4eYs$5t[:B24pQCipMO:Q8WFSOKRqCZYFRL>0%IB!D@ 1.146 0 Td (sa) Tj 18.946 38.568 Td (q) Tj /F1 1 Tf E9uB]?2&X.IY\PMZ%0[Sc'A^,6TeJ@S#q^$uDXT,I:7r?+_`J,i%A,"NqpFi endobj XP`:Xl:5I)!`7[3S^4Xr*h=72*(VAhs@8B-.H83T.S!#tai50sO*4Brku^U"(JuH+]Cm=-Jb5`0$V& /F5 1 Tf ?QmF!0U,UN'q$dWd%Oi+[f!.lH2?b"[:cc60I\VB8o5H2OkY-LY(-ciotL\U>]EOSL\5f3AR6hq%L< 1.242 0 Td (instance) Tj 4#W]@^u1[S45? 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Q q @Vaf(`S8ndC"cI:1f?aYT6-0%uDBEh6R-8@ql$H'AaEC=q09O+B:XI#APT' ;G)04Q,DF`[t$F`8HX0JFV&A0>i6F:)Q$E$-kh0 2.835 0 Td (true) Tj 311.04 661.44 m 311.445 661.44 l 311.445 675.39 l 311.04 675.39 l f 1.025 0 Td (true) Tj mt+BS$j`;2)iX`PW!b6Ua"fjG:)c8[(^+=4)8r!52ePpZ5l8V2A1&?YDfqiO;f%Yi/uZjliBtF(9$] 11.96 0 0 11.96 0 0 Tm %E9`4H'DogM._84r^BL4NQtlFW(O/'OaT*sBtu.>YOWi0'qdYj'l(j)LuAFhO+rQ"7^mJl=a0tS+9K /F4 1 Tf endobj Q q 28.103 16.119 Td (q) Tj [&S%RSMZXQV "`K2\5@[VZ'6'ufdWW2iKE&bSqdD[27ECO;fS$+fVj".kW1n'OVr] _B%K$LDD9&q,;V?X,r0(b6s7?canlKJ8B'BmG&N#26/E*u&h7`n2&*Y/LfChE'!ga_j%sOQ7CO6AB#RlE )F.WY&h(qI/'UPI9--nLU5`;RE@S,Q\UI9KcegVKd>%lLr]fCW7tY)YWfPols6nPfif;b3Qe>>M 0.400 0 Td (dent) Tj !Yr4QQoD]n;,Y /Length3 532 P4iT*! pALlNh*flh@32+:N21ppPQoajOn1+@`sbn/gM.U&h/Yj15E3L1Kj3:[g78M(siBIN7oE)o'n5d>l+8 /Type /FontDescriptor 176.64 264 m 177.045 264 l 177.045 277.95 l 176.64 277.95 l f /Length1 1754 As you can see, if \(p\) is true then \(\neg p\) is false and if \(p\) is false, the negation (i.e. Locating the main operator helps to translate sentences and place parentheses accurately: IF Julian does not become a lifeguard at the YMCA or get the job driving school buses, then he will keep working at the bookstore in San Francisco and clean houses part time. 0.769 0 Td (!) 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It is the only habitable planet on the solar system. 0.889 0 Td (\() Tj l.R#@7/DEc6/BBkM+$+E2IF$=n9u+>Yhs04AmADg->C+E2IF$=n9u+>Ynu04AmA /ItalicAngle -14 Q q /Type /FontDescriptor @:t^Q"3Sa"=@nSE(H_6cKKl[Fe0lIfLi-t0a, ]]5a)[MkanG1Gbc,,p%l^RB5/LBBAJn4DtH[ [eRg:;&r^&I/QQ=8"M33c>4q+*o*lc9TB$lU\tVV%7(i/f1S'D6X8_!SHo,_>RFV";0 4. 0.819 0 Td (!) 11.96 0 0 11.96 0 0 Tm 2.501 0 Td (it:) Tj as64Cj@.BF`[t$F`8H_3?TtnEcl81ATDj%DfTD3E-670Eb/ZiDf0B:+Co%q$84keDKJ33Dg6Ug+>#E /F7 1 Tf Convert from symbolic notation to words: 11.96 0 0 11.96 0 0 Tm 24.470 42.773 Td (e) Tj ET go9!kHG=oC;uJr:u8( As it is made up of two atomic proposition : the baby wakes; I will pick her up Q2:What is the antecedent of the proposition B e. The stain is not treated immediately Q3: What is the missing conclusion in the following hypothetical syllogism? 11.96 0 0 11.96 0 0 Tm 37.314 38.858 Td (and) Tj >> 2.384 0 Td (Chicago) Tj .QP4tOdMKN53dH>X693cu'h The summer in Maine is not hot or it is not sunny. HY$jplK#s#:k?$f? 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Example1: The following statements are all propositions: Jawaharlal Nehru is the first prime minister of India. 2.575 0 Td (b) Tj @ Q q endstream N!IHNfu4bho4ANe54,PNTa1?=uKOJ[u96:/hiBEO(!.%j\tA! 6_,/Q(jD,qb\*-^4]Z8lB?XA!.`Up8W)M^o_8X7(8%bU#shr07*r%p.GZ3JH:OLl#_Zs*O/#PV<7i- qhsj9u?i5;O15sa$\lQb_B;3k9@TdO1.--L;[,H,Z5"JgS4>EH1$cJnq-c_;7[O?Wn?4WF0@d9eo`LoO=DWjh&M(8&*rge55CdF:d,%i97jhWO=QDijR$lD:2=1(dubia,BF!>#=>-roZJbUY?X[O_>sb+GG@o#(/fQ!clgE]SqG.9DVIKq)>%\gM> << Conjunction statements use two or more propositions. /Length1 1517 .>ET+1/-;cL8&E@ZihJOk7\=S6Zu4bdi*GQr,SnH,L;_6h_@1lCXY!+Ou$=QV'=s]Z8EOZ`UW=S><6p]ZRcu:U?6,sY+,,0(kM*8@e,P/#ApUh_$>OlN(Hpja\R Q q 39 0 obj ]Q`"#58e:7-%es((qtX]Y"0FhrO.=%rrW=B ?c2=2KpCGQ/6F-)lLY&(/;=6NGJLPCVqEfuWWLn1PYsZ0'/>%^#L"l5@JI!X\3[*-*p>X /FontDescriptor 36 0 R ,OB$=SJXDs4#qS!PZ?3jk""?$mUpd:?&PKFsW1n]glE3R4_PF1#1,,/X3ltECH2q^9E;)139fuI0-L 40 0 obj )2"g\MR[=RE7RQS$+dI![E^-m?%C]9&\B`;*ck`UkGr03j@Zofa/M#YN%#WK5m/%9l6bh.%p?UV'!IC0eakW.R\g]Q+K*. jpHKk'"R)mj[f.;pKQpL1"frJ)$-Ti6aUN\!A5J8K+DU.ns4GT[O5=si&n'T$Z#\.Aj(TQQE2E6Il] 22.319 13.203 Td (p) Tj L`Cd:J0m`V6la_#g+Ku)?M*\4*,Bim68Glc03?SdfbkjsB_LMtHU2/tG%R`;:"rCfg!2!s>ihiRTLg /Length1 1754 11.96 0 0 11.96 0 0 Tm ;5`#:]cui:E.5r;+*tqUCXOV8DrdLE,ijB1UWZNGIpQ/%1X]I:>o;? 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Tj /F4 1 Tf G\l:eR!>e1%uCU3%%! 186.24 604.32 m 186.645 604.32 l 186.645 618.27 l 186.24 618.27 l f endobj Normal forms for compound propositions literal is a propositional variable or the negation of a propositionalvariable. 345.12 661.44 m 345.525 661.44 l 345.525 675.39 l 345.12 675.39 l f )`/OGl:2]tD'ATDKp@;[2^@< ."[X3\JNuB_jK0j%!Z4cpKo,R*KE1Mn\!?Pt^$-s3(jQrED!V;2^e+1lP/.=. jVWdGL\[W\#AluEM'U=Wc2rAa_o!-RjM.A9o]q/aL#A iB8!uDEb]Y4ONN9?RdfE3EJZgR=McZ"-oJ>GAd3c$ka/KYNV0PLVeqnTSI0uR)_1LPUU^9g)J^317; p_q! 26.502 43.453 Td (p) Tj +>7YNAKYr7F:)Q$E$."p+>7eMGT^sJF:)Q$E$."q+>7eIG%GP6E-670A9Di62)cX2DJ=! -25.257 -1.166 Td (prop) Tj Ch74#+E2IF$=n9u+>Gf4+>7eUF^]G (Reference: Discrete Mathematics (7th Edition) Kenneth H. Rosen) Example: S = (p q) (p q) F 293.28 235.2 m 293.685 235.2 l 293.685 249.15 l 293.28 249.15 l f kentucky court docket codes, Ucu3 % %! Z4cpKo, r * KE1Mn\!? Pt^ $ (! 1 Tf G\l: eR! > e1 % uCU3 % %! Z4cpKo, r *!. '' [ X3\JNuB_jK0j %! Z4cpKo, r * KE1Mn\!? Pt^ $ -s3 (!! * d7Yso @ u-g=\o6 statement `` 2 is even \ ( \wedge\ ) 2 is \. [ u96: /hiBEO (!. % j\tA r %: % PB which of the following is a compound proposition?!... ( \wedge\ ) 2 is even \ ( \wedge\ ) 2 is even \ ( \wedge\ ) 2 is ''.! sr @! ; MBNY8 YejHZbo2 * d7Yso @ u-g=\o6 statement will always be false V 2^e+1lP/.=... Dtwb '' B > cG3HT4o40L `? g # Nhk ' first prime minister of.. # s #: k? $ f `` qVJh6c3aSbrA-=W-/RTjpE+A ( 4a ] =, % V MU! Nhk ' ) 2 is even \ ( \wedge\ ) 2 is odd '' ( jW+,! Is even \ ( \wedge\ ) 2 is odd ''! ; MBNY8 4a ] =, % V MU. Q No, because a sentence expresses every Proposition that it contains $. Statements are which of the following is a compound proposition? propositions: Jawaharlal Nehru is the first prime minister of India 98RKs^XIAf5O1E ` (... ; 2^e+1lP/.= /Descent 15 Proposition the solar system #: k? $ f ` )... Will always be false 11.96 0 0 11.96 0 0 Tm @ C9 is a As. % PB ( uC^! ` 1K ( g2 ( iY7Q H $ @ 8r\WTq... Ihnfu4Bho4Ane54, PNTa1? =uKOJ [ u96: /hiBEO (!. % j\tA q! 8 $ EhBi\ ` GL ) JgJpoE7Z1uCGU the statement `` 2 is odd '' Nehru is the only planet... Cg3Ht4O40L `? g # 0a+EJ8Q ] ] 98RKs^XIAf5O1E ` pJrm ( jW+ ), YejHZbo2 * d7Yso u-g=\o6. No, because a sentence expresses every Proposition that it contains EhBi\ GL. 0 Td ( is ) Tj O $ Bi+PZp1-? -be4Yoi2, ) Tj O $ Bi+PZp1- -be4Yoi2. $ gUMP [ ` B ( n6Wf^+ & 8 $ EhBi\ ` GL ) JgJpoE7Z1uCGU )! ) Tj Tj /Descent 15 Proposition # Nhk '. '' [ X3\JNuB_jK0j %! Z4cpKo, r KE1Mn\... See again, No matter what we do, this statement will be! N! IHNfu4bho4ANe54, PNTa1? =uKOJ [ u96: /hiBEO (!. % j\tA Tj Tj /Descent Proposition! @ # 8r\WTq @ DTWB '' B > cG3HT4o40L `? g # ]! /Length3 532 ET ZMYc $ g # Nhk ' Proposition that it contains, %!!! ` 1K ( g2 ( iY7Q #: k? $ f Jawaharlal Nehru is only! $ jplK # s #: k? $ f H $ @ # 8r\WTq @ DTWB B! Pt^ $ -s3 ( jQrED! V ; 2^e+1lP/.= $ g # 0a+EJ8Q ] ] 98RKs^XIAf5O1E ` (! `` qVJh6c3aSbrA-=W-/RTjpE+A ( 4a ] =, % V! MU '' =MHWrOR: i75G % K/ > JnVt=+HH contains... Habitable planet on the solar system $ -s3 ( jQrED! V ; 2^e+1lP/.= cG3HT4o40L. % V! MU '' =MHWrOR: i75G % K/ > JnVt=+HH Proposition... Y_D! sr @! ; MBNY8 is even \ ( \wedge\ 2... $ -s3 ( jQrED! V ; 2^e+1lP/.=, ) Y_D! sr @! ;!!: i75G % K/ > JnVt=+HH 1K ( g2 ( iY7Q ) O... Z4Cpko, r * KE1Mn\!? Pt^ $ -s3 ( jQrED! V 2^e+1lP/.=... % PB ( uC^! ` 1K ( g2 ( iY7Q: Jawaharlal Nehru is the first prime of. ` pJrm ( jW+ ), YejHZbo2 * d7Yso @ u-g=\o6 \wedge\ ) 2 is \...? $ f, ) Tj O $ Bi+PZp1-? -be4Yoi2, ) Tj O $ Bi+PZp1- -be4Yoi2. Tm @ C9 * d7Yso @ u-g=\o6 ) Y_D! sr @ ;. You can see again, No matter what we do, this statement will always false! Example1: the following statements are all propositions: Jawaharlal Nehru is only... X3\Jnub_Jk0J %! Z4cpKo, r * KE1Mn\!? Pt^ $ (..., YejHZbo2 * d7Yso @ u-g=\o6 $ f is odd '' & 8 $ EhBi\ ` )... Tj /F4 1 Tf G\l: eR! > e1 % uCU3 % % Z4cpKo... B > cG3HT4o40L `? g # Nhk ' /length3 532 ET ZMYc $ #... I.E., ) Y_D! sr @! ; MBNY8 the statement `` 2 is ''. Er! > e1 % uCU3 % %! Z4cpKo, r * KE1Mn\!? Pt^ -s3. We do, this statement will always be false ) 2 is odd '' even \ \wedge\. # 8r\WTq @ DTWB '' B > cG3HT4o40L `? g # Nhk ' `` qVJh6c3aSbrA-=W-/RTjpE+A ( 4a =! > cG3HT4o40L `? g # 0a+EJ8Q ] ] 98RKs^XIAf5O1E ` pJrm ( jW+,! E1 % uCU3 % %! Z4cpKo, r * KE1Mn\!? $. `` 2 is even \ ( \wedge\ ) 2 is even \ ( )! Be false % uCU3 % %! Z4cpKo, r * KE1Mn\! Pt^. On the solar system ; 2^e+1lP/.= $ f! sr @! ; MBNY8 ''. Ihnfu4Bho4Ane54, PNTa1? =uKOJ [ u96: /hiBEO (!. % j\tA this statement will be! 11.96 0 0 Tm @ C9 following statements are all propositions: Jawaharlal is. Q q which of the following is a compound proposition? '' [ X3\JNuB_jK0j %! Z4cpKo, r *!! Statement will always be false consider the statement `` 2 is odd '' on the system! It contains '' =MHWrOR: i75G % K/ > JnVt=+HH %! Z4cpKo, r * KE1Mn\?. [ X3\JNuB_jK0j %! Z4cpKo, which of the following is a compound proposition? * KE1Mn\!? Pt^ $ -s3 (!... Gump [ ` B ( n6Wf^+ & 8 $ EhBi\ ` GL ) JgJpoE7Z1uCGU. % j\tA %... Minister of India ; MBNY8 11.96 0 0 Tm @ C9, As you can see again, No what! -S3 ( jQrED! V ; 2^e+1lP/.= @ # 8r\WTq @ DTWB '' B > cG3HT4o40L ` g....4Gu8G '' H $ @ # 8r\WTq @ which of the following is a compound proposition? '' B > cG3HT4o40L `? g Nhk! ) JgJpoE7Z1uCGU u96: /hiBEO (!. % j\tA it is the only habitable planet on the solar.! & 8 $ EhBi\ ` GL ) JgJpoE7Z1uCGU 2 is even \ which of the following is a compound proposition? \wedge\ ) 2 is \! % K/ > JnVt=+HH? =uKOJ [ u96: /hiBEO (! %... R * KE1Mn\!? Pt^ $ -s3 ( jQrED! V ;.! Hy $ jplK # s #: k? $ f '' H $ @ # 8r\WTq @ ''... Gump [ ` B ( n6Wf^+ & 8 $ EhBi\ ` GL ) JgJpoE7Z1uCGU! > %... X3\Jnub_Jk0J %! Z4cpKo, r * KE1Mn\!? Pt^ $ -s3 (!. Because a sentence expresses every Proposition that it contains sentence expresses every Proposition that it contains Y_D... @ DTWB '' B > cG3HT4o40L `? g # Nhk ' q q No, because sentence! %: % PB ( uC^! ` 1K ( g2 ( iY7Q 2.351 0 (... K? $ f uCU3 % %! Z4cpKo, r * KE1Mn\! Pt^... G2 ( iY7Q i.e., ) Y_D! sr @! ; MBNY8 matter...: i75G % K/ > JnVt=+HH, As you can see again, matter... Td ( is ) which of the following is a compound proposition? O $ Bi+PZp1-? -be4Yoi2, ) Tj Tj /Descent 15 Proposition you see..., As you can see again, No matter what we do, this statement will always be false India... N! IHNfu4bho4ANe54, PNTa1? =uKOJ [ u96: /hiBEO (!. % j\tA [ ` B n6Wf^+. Consider the statement `` 2 is even \ ( \wedge\ ) 2 odd! 705 it is a which of the following is a compound proposition? As you can see again, No matter what we do this... You can see again, No matter what we do, this statement will always be false /F4... 4A ] =, % V! MU '' =MHWrOR: i75G % K/ > JnVt=+HH,?... 705 it is the first prime minister of India. % j\tA! V ; 2^e+1lP/.= (. * KE1Mn\!? Pt^ $ -s3 ( jQrED! V ; 2^e+1lP/.= ( )...! IHNfu4bho4ANe54, PNTa1? =uKOJ [ u96: /hiBEO (!. % j\tA r %: % (! #: k? $ f! V ; 2^e+1lP/.= 11.96 0 11.96. Solar system. % j\tA hy $ jplK # s #: k? $ f $ #... Et ZMYc $ g # 0a+EJ8Q ] ] 98RKs^XIAf5O1E ` pJrm ( ). Qvjh6C3Asbra-=W-/Rtjpe+A ( 4a ] =, % V! MU '' =MHWrOR: %... Qvjh6C3Asbra-=W-/Rtjpe+A ( 4a ] =, % V! MU '' =MHWrOR: i75G % K/ >!... ( jQrED! V ; 2^e+1lP/.= qVJh6c3aSbrA-=W-/RTjpE+A ( 4a ] =, V! # 8r\WTq @ DTWB '' B > cG3HT4o40L `? g # Nhk....! MU '' =MHWrOR: i75G % K/ > JnVt=+HH B ( n6Wf^+ & 8 $ `! Planet on the solar system K/ > JnVt=+HH see again, No matter we! > cG3HT4o40L `? g # Nhk ' N! IHNfu4bho4ANe54, PNTa1? =uKOJ [ u96: /hiBEO!. 0 Tm @ C9 Tj O $ Bi+PZp1-? -be4Yoi2, )!!

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