∼ ( ∼ p ∧ q ) is logically equivalent to Options: A . &nbsp ∼ ( p ∨ q ) B . &nbsp ∼ ( p ∧ ∼ q ) C . &nbsp p ∧ ∼ q D . &nbsp p ∨ ∼ q

Answer: Option D : D We know that ∼ ( p ∧ q ) = ∼ p ∨ ∼ q ∴ ∼ ( ∼ p ∧ q ) = ∼ ( ∼ p ) ∨ ∼ q = p ∨ ∼ q

∼(∼p ∧ q) is logically equivalent to

Question -

$\sim (\sim p \land q)$ is logically equivalent to

Options:

A .

\sim (p \lor q)

B .

\sim (p \land \sim q)

C .

p \land \sim q

D .

p \lor \sim q

Answer: Option D
:
D

We know that $\sim (p \land q) = \sim p \lor \sim q$

$∴ \sim (\sim p \land q) =\sim (\sim p) \lor \sim q = p \lor \sim q$

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