Mathematical Logic And Boolean Algebra Question 133
Question: If p, q, r are simple propositions with truth values T, F, T, then the truth value of $ (\tilde{\ }p\vee q)\ \wedge \tilde{\ }r\Rightarrow p $ is
Options:
A) True
B) False
C) True if r is true
D) True if q is true.
Show Answer
Answer:
Correct Answer: A
Solution:
$ \tilde{\ }p\vee q $ means F $ \vee $ F = F, ~r means F $ (\tilde{\ }p\vee q)\wedge \tilde{\ }r $ means F $ \because $ $ [(\tilde{\ }p\vee q)\ \wedge \tilde{\ }r]\Rightarrow p $ means T [ $ \because $ in $ p\Rightarrow q $ we have FTT]
BETA
