Mathematical Logic And Boolean Algebra Question 140
Question: $ (p\ \wedge \tilde{\ }q)\wedge (\tilde{\ }p\vee q) $ is
Options:
A) A contradiction
B) A tautology is a statement that is always true by definition.
C) Either A or B
D) Neither A nor B
Show Answer
Answer:
Correct Answer: A
Solution:
p q ~p q pÙq pÚq (pÙq)Ù(~pÚq)
T T F F F T F
T F F T T F T
F T T F F T T
F F T T F T F
Clearly, $ (p\ \wedge \neg q)\wedge (p\ \vee \neg q) $ is a contradiction.
BETA
