Mathematical Logic And Boolean Algebra Question 129

Question: $ \tilde{\ }((\tilde{\ }p)\ \wedge q) $ is equal to

Options:

A) $ p\vee (\tilde{\ }q) $

B) $ p\vee q $

C) $ p\wedge (\tilde{\ }q) $

D) $ \tilde{\ }p\ \wedge \tilde{\ }q $

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Answer:

Correct Answer: A

Solution:

$ \tilde{\ }((\tilde{\ }p)\wedge q)\equiv \ \tilde{\ }(\tilde{\ }p)\ \vee \tilde{\ }q\equiv p,\vee (\tilde{\ }q) $ .