Mathematical Logic And Boolean Algebra Question 159
Question: Which of the following is always true
[Karnataka CET 1998]
Options:
A) $ (p\Rightarrow q)\equiv \ \tilde{\ }q\Rightarrow \ \tilde{\ }p $
B) $ \tilde{\ }(p\vee q)\equiv \vee \ p\ \vee \tilde{\ }q $
C) $ \tilde{\ }(p\Rightarrow q)\equiv p\ \wedge \tilde{\ }q $
D) $ \tilde{\ }(p\vee q)\equiv \ \tilde{\ }p\ \ \wedge \tilde{\ }q $
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Answer:
Correct Answer: C
Solution:
$ p\Rightarrow q\equiv \ \tilde{\ }p\vee q $ \ $ \tilde{\ }(p\Rightarrow q)\equiv p\ \wedge \tilde{\ }q $ .
BETA
