The negation of the expression q ∨((∼ q) ∧ p) is equivalent to

Question

The negation of the expression q ∨((∼ q) ∧ p) is equivalent to (A) p ∧(∼ q) (B) (∼ p) ∧(∼ q) (C) (∼ p) ∨(∼ q) (D) (∼ p) ∨ q

Tardigrade Admin · Accepted Answer

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

Q. The negation of the expression $q \lor ((\sim q) \land p)$ is equivalent to