Which of the following is logically equivalent to ∼ ( ∼ p ⇒ q ) ? Options: A . &nbsp p ∧ q B . &nbsp p ∧ ∼ q C . &nbsp ∼ p ∧ q D . &nbsp ∼ p ∧ ∼ q

Answer: Option D : D ∼ ( p ⇒ q ) = p ∧ ∼ q ∼ ( ∼ p ⇒ q ) = ∼ p ∧ ∼ q

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

Question -

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

Options:

A .

p \land q

B .

p \land \sim q

C .

\sim p \land q

D .

\sim p \land \sim q

Answer: Option D
:
D

$\sim (p \Rightarrow q) = p \land \sim q \sim (\sim p \Rightarrow q) =\sim p \land \sim q$

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