The statement p ∧ q ⇒ p ∧ r is equivalent to

Question

The statement p ∧ q ⇒ p ∧ r is equivalent to, q ⇒ p ∧ r, p ⇒ p ∧ r, p ∧ r ⇒ p ∧ q, p ∧ q ⇒ r

MARKS App · Accepted Answer

Given, p ∧ q ⇒ p ∧ r {Using A ⇒ B ≡ ~ A ∨ B } = ~ p ∧ q ∨ p ∧ r {Using Demorgan's law ~ A ∧ B ≡ ~ A ∨ ~ B } = ~ p ∨ ~ q ∨ p ∧ r = ~ p ∨ p ∧ r ∨ ~ q = ~ p ∨ p ∧ ~ p ∨ r ∨ ~ q = ~ p ∨ r ∨ ~ q = ~ p ∨ ~ q ∨ r = ~ p ∧ q ∨ r = p ∧ q ⇒ r

Search any question & find its solution

Looking for more such questions to practice?