Mathematical Logic And Boolean Algebra Question 82
Question: The false statement of the following is
Options:
A) $ p\wedge (\tilde{\ }p) $ is a contradiction
B) $ (p\Rightarrow q)\Leftrightarrow (\tilde{\ }q\Rightarrow \tilde{\ }p) $ is a contradiction
C) $ \tilde{\ }(\tilde{\ }p)\Leftrightarrow p $ is a tautology
D) $ p\vee (\tilde{\ }p)\Leftrightarrow p $ is a tautology
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ p\Rightarrow q $ is logically equivalent to $ \tilde{\ }p\Rightarrow \tilde{\ }q $
$ \therefore (p\Rightarrow q)\Leftrightarrow (\tilde{\ }q\Rightarrow \tilde{\ }p) $ is a tautology but not a contradiction.
BETA
