Question

The negation of the proposition “If 2 is prime, then 3 is odd”, is ______.

Options

• If 2 is not prime, then 3 is not odd.

• 2 is prime and 3 is not odd.

• 2 is not prime and 3 is odd.

• If 2 is not prime, then 3 is odd.

Answer 1

The negation of the proposition “If 2 is prime, then 3 is odd”, is 2 is prime and 3 is not odd.

Explanation:

Let p : 2 is prime, q : 3 is odd

∴ ∼(p → q) ≡ p ∧ ∼q