If p and q are two statements, then p ∨ ∼ p ⇒ ∼ q is equivalent to

Question

If p and q are two statements, then p ∨ ∼ p ⇒ ∼ q is equivalent to, p ∧ q, p, p ∧ ∼ q, ∼ p ∧ q

MARKS App · Accepted Answer

As we know that p → q ≡ ∼ p ∨ q Hence p ∨ ∼ p → ∼ q ≡ p ∨ ∼ ∼ p ∨ ∼ q as we know that ~ p ∨ q ≡ ~ p ∧ ~ q Hence p ∨ ∼ ∼ p ∨ ∼ q ≡ p ∨ p ∧ q Therefore p ∨ p ∧ q ≡ p

Search any question & find its solution

Looking for more such questions to practice?