Question

State whether the following statement is True or False:

Dual of (p ∧ ∼ q) ∨ t is (p ∨ ∼ q) ∨ c.

Options

• True

• False

Answer 1

This statement is false.

Explanation:

Duality interchanges ∧ and ∨ and swaps t (tautology) with c (contradiction), leaving negation unchanged.

Applying that, the dual of (p ∧ ∼ q) ∨ t is (p ∨ ∼ q) ∧ c (not (p ∨ ∼ q) ∨ c); since c is contradiction (false), the dual further simplifies to c.