Mathematical Logic And Boolean Algebra Question 88

Question: $ (p\wedge \tilde{\ }q)\wedge (\tilde{\ }p\vee ~q) $ is

Options:

A) a contradiction

B) a tautology

C) either [a] or [b]

D) neither [a] nor [b]

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Clearly, $ (p\wedge \sim q)\wedge (\sim p\vee q) $ is a contradiction.