Question

p ∧ t ≡ p

Options

• True

• False

Answer 1

This statement is True.

Explanation:

When p is true: p ∧ ⊤= true ∧ true = true

When p is false: p ∧ ⊤ = false ∧ true = false

In both cases, p ∧ ⊤ yields the same truth value as p. Therefore, p ∧ ⊤ ≡ p is a valid logical equivalence.