The negation of the statement (p ∧ q) → (∼ p ∨ r) is

Question

The negation of the statement (p ∧ q) → (∼ p ∨ r) is (A) (p ∧ q) ∨ (p ∨ ∼ r) (B) (p ∧ q) ∨ (p ∧ ∼ r) (C) (p ∧ q) ∧ (p ∧ ∼ r) (D) p ∨ q

Tardigrade Admin · Accepted Answer

∼ [( p ∧ q) → (∼ p ∨ r) ] ≡ (p ∧ q) ∨ [∼ (∼ p ∨ r)] ≡ (p ∧ q) ∧ (p ∧ ∼ r)

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