The statement ∼ ( p ⇒ q ) is equivalent to Options: A . &nbsp p ∧ ∼ q B . &nbsp ∼ p ∧ q C . &nbsp p ∧ q D . &nbsp ∼ p ∧ ∼ q

The statement ∼(p⇒q) is equivalent to

Question

The statement $\sim (p \Rightarrow q)$ is equivalent to

Options:

A .

p \land \sim q

B .

\sim p \land q

C .

p \land q

D .

\sim p \land \sim q

Answer: Option A
:
A

$\sim (p \Rightarrow q)$ is true only when p is true and q is false. Hence it is logically equivalent to $p \land \sim q$

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