Mathematical Logic And Boolean Algebra Question 54
Question: Let p and q be any two logical statements and $ r:p\to (\tilde{\ }p\vee q). $ If r has a truth value F, then the truth values of p and q are respectively:
Options:
A) F, F
B) T, T
C) T, F
D) F, T
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ p\to (\tilde{\ }p\vee q) $ has truth value F. It means $ p\to (\tilde{\ }p\vee q) $ is false. It means p is true and $ \tilde{\ }p\vee q $ is false.
$ \Rightarrow p $ is true and both $ \tilde{\ }p $ and q are false.
$ \Rightarrow p $ is true and q is false.
BETA
