Mathematical Logic And Boolean Algebra Question 13
Question: Which of the following is always true?
Options:
A) $ (\tilde{\ }p\Rightarrow q)=\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:
[c] $ p\Rightarrow q\equiv \tilde{\ }p\vee q\therefore \tilde{\ }(p\Rightarrow q)\equiv p\wedge \tilde{\ }q. $
BETA
