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ES=Answers may vary.
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H=$.hint$
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Q=Construct a truth table for the statement. Note the importance of the parentheses and the bracket to indicate the order in which items are grouped.
V7
\n\n\n\n| 1 | \n2 | \n3 | \n
\n\n| $tiny$ | \n$tiny$ | \n$tiny$ | \n
\n\n| V0 | \nV1 | \nV12 | \nV7 | \n
\n\n| $tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n
\n\n| V8 | \nV8 | \nV8 | \nV8:V9 | \n
\n\n| V8 | \nV8 | \nV9 | \nV8:V9 | \n
\n\n| V8 | \nV9 | \nV8 | \nV9:V8 | \n
\n\n| V8 | \nV9 | \nV9 | \nV9:V8 | \n
\n\n| V9 | \nV8 | \nV8 | \nV8:V9 | \n
\n\n| V9 | \nV8 | \nV9 | \nV9:V8 | \n
\n\n| V9 | \nV9 | \nV8 | \nV8:V9 | \n
\n\n| V9 | \nV9 | \nV9 | \nV9:V8 | \n
\n
\n
SA=Answers may vary.
T=MI
TF=-1
TL=
TOL=+1E-4
U=NOUNIT
V0=S"p"
V1=S"q"
V10=S"$arrowright$"
V11=S"$arrowboth$"
V12=S"r"
V2=S"$logicaland$"
V3=S"$logicalnot$"
V4=S"$logicalor$"
V5=S"V0 V10 V1"
V6=S"V0 V4 V12"
V7=S"(V0 V10 V1) V11 (V0 V4 V12)"
V8=S"T"
V9=S"F"
W=\n\n\n| $tiny$ | \n1 | \n$tiny$ | \n2 | \n$tiny$ | \n3 | \n$tiny$ | \n4 | \n$tiny$ | \n5 | \n$tiny$ | \n6 | \n$tiny$ | \n
\n\n| $tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n
\n\n| $tiny$ | \nV0 | \n$tiny$ | \nV1 | \n$tiny$ | \nV12 | \n$tiny$ | \nV5 | \n$tiny$ | \nV6 | \n$tiny$ | \nV7 | \n$tiny$ | \n
\n\n| $tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n$tiny$ | \n
\n\n| $tiny$ | \nV8 | \n$tiny$ | \nV8 | \n$tiny$ | \nV8 | \n$tiny$ | \nV8 | \n$tiny$ | \nV8 | \n$tiny$ | \nV8:V8 | \n$tiny$ | \n
\n\n| $tiny$ | \nV8 | \n$tiny$ | \nV8 | \n$tiny$ | \nV9 | \n$tiny$ | \nV8:V9 | \n$tiny$ | \nV8 | \n$tiny$ | \nV8:V9 | \n$tiny$ | \n
\n\n| $tiny$ | \nV8 | \n$tiny$ | \nV9 | \n$tiny$ | \nV8 | \n$tiny$ | \nV9 | \n$tiny$ | \nV8 | \n$tiny$ | \nV9:V8 | \n$tiny$ |
\n\n| $tiny$ | \nV8 | \n$tiny$ | \nV9 | \n$tiny$ | \nV9 | \n$tiny$ | \nV9 | \n$tiny$ | \nV8 | \n$tiny$ | \nV9:V8 | \n$tiny$ |
\n\n| $tiny$ | \nV9 | \n$tiny$ | \nV8 | \n$tiny$ | \nV8 | \n$tiny$ | \nV8 | \n$tiny$ | \nV8 | \n$tiny$ | \nV8:V8 | \n$tiny$ | \n
\n\n| $tiny$ | \nV9 | \n$tiny$ | \nV8 | \n$tiny$ | \nV9 | \n$tiny$ | \nV8:V9 | \n$tiny$ | \nV9 | \n$tiny$ | \nV9:V8 | \n$tiny$ | \n
\n\n| $tiny$ | \nV9 | \n$tiny$ | \nV9 | \n$tiny$ | \nV8 | \n$tiny$ | \nV8 | \n$tiny$ | \nV8 | \n$tiny$ | \nV8:V9 | \n$tiny$ | \n
\n\n| $tiny$ | \nV9 | \n$tiny$ | \nV9 | \n$tiny$ | \nV9 | \n$tiny$ | \nV8 | \n$tiny$ | \nV9 | \n$tiny$ | \nV9:V8 | \n$tiny$ | \n
\n
\n
YN=-1
cnum=4
followup=
ilev=1
mcdm=1
mdm=0
mpc=unspecified
mpn=2
mpv=2.0
mwnum=2
ncd=-1
subject=unspecified
varnum=17