Mathematical Logic And Boolean Algebra Question 26

Question: Which of the following is logically equivalent to $ \tilde{\ }(\tilde{\ }p\Rightarrow q)? $

Options:

A) $ p\wedge q $

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

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

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

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Answer:

Correct Answer: D

Solution:

[d] It is clear from table that $ ‘\sim ’ $ $ (\sim p\Rightarrow q) $ is equivalent to $ \sim p\wedge \sim q. $