Question

∼ ((∼ p) ∧ q) is equal to ______.

Options

• p ∨ (∼ q)

• p ∨ q

• p ∧ (∼ q)

• ∼ p ∧ ∼ q

Answer 1

∼ ((∼ p) ∧ q) is equal to p ∨ (∼ q).

Explanation:

∼ ((∼ p) ∧ q) ≡ ∼ (∼ p) ∨∼ q ≡ p ∨ (∼ q)