Mathematical Logic And Boolean Algebra Question 138
$ \tilde{\ }(p\Rightarrow q)\Leftrightarrow \tilde{\ }p\ \wedge \tilde{\ }q $
Options:
A) A tautology
B) A contradiction
C) Neither a tautology nor a contradiction
D) Cannot draw any conclusion
Show Answer
Answer:
Correct Answer: C
Solution:
p ∧ q ∧ p
Þq ~p
Þq) ~p ~q ~p∨~q ~(p
Þq) Û pÚq
T T T F F F F T
T F T F T F T T
F T T F T F T T
F F T F T T T F
Last column shows that result is neither a tautology nor a contradiction.
BETA
