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  4. Which of the following is logically equivalent to ∼(∼ p ⇒ q) ?

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Q. Which of the following is logically equivalent to $\sim(\sim p \Rightarrow q) $?

Mathematical Reasoning

Solution:

Since $ \sim (p \Rightarrow q )= p \land \sim q$
$ \sim ( \sim p \Rightarrow q) = \sim p \land \sim q$. Hence $(d)$ is correct.