Mathematical Logic And Boolean Algebra Question 64
Question: Which of the following is a statement?
Options:
A) $ \tilde{\ }(p\vee q)\equiv p\vee \tilde{\ }q $
B) $ (p\Rightarrow q)\equiv \tilde{\ }q\Rightarrow ,\tilde{\ }p $
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] lf $ p\Rightarrow q\equiv ,\sim p\vee q $ $ \sim (p\Rightarrow q)\equiv p\vee \sim q $ It means $ p\Leftrightarrow q\equiv (p\Rightarrow q)\wedge (q\Rightarrow p) $
BETA
