The proposition p arrow ∼( p ∧ ∼ q ) is equivalent to:

Question

The proposition p arrow ∼( p ∧ ∼ q ) is equivalent to: (A) (∼ p) ∨ q (B) q (C) (∼ p ) ∧ q (D) (∼ p ) ∨(∼ q )

Tardigrade Admin · Accepted Answer

p arrow ∼( p ∧ ∼ q ) =∼ p ∨ ∼( p ∧ ∼ q ) =∼ p ∨ ∼ p ∨ q =∼( p ∧ q ) ∨ q =∼ p ∨ q

Q. The proposition $p \to\sim (p \land \sim q)$ is equivalent to: