Question

The contrapositive of (p v q) `implies` r is ______.

विकल्प

• `r \implies (p ∨ q)`

• `∼r \implies (p ∨ q)`

• `∼r \implies ∼ p  ∧ ∼ q`

• `p \implies (q ∨ r)`

Answer 1

The contrapositive of (p v q) `implies` r is `underlinebb(∼r \implies ∼ p  ∧ ∼ q)`.

Explanation:

Contrapositive of p `\implies` q is ∼ q `\implies` ∼ p

∴ Contrapositive of (p v q) `\implies` r is 

∼r `\implies` ∼(p  v q) i.e. ∼r `\implies` (∼p ∧ ∼q)