Mathematical Logic And Boolean Algebra Question 8
Question: If $ p\Rightarrow (\tilde{\ }p\vee q) $ is false, the truth values of p and q are respectively
[Karnataka CET 2002]
Options:
A) F, T
B) F, F
C) T, T
D) T, F
Show Answer
Answer:
Correct Answer: D
Solution:
$ p\Rightarrow (\tilde{\ }p\vee q) $ is false means p is true and $ \tilde{\ }p\vee q $ is false.
Þ p is true and both ~p and q are false.
Þ p is true and q is false.