Question

If p : A man is happy, q : A man is rich, then the symbolic form of ‘A man is neither happy nor rich is ______.

Options

• ∼ p ∧ q

• ∼ (p ∨ q)

• p ∨ q

• ∼ p ∨ ∼ q

Answer 1

If p : A man is happy, q : A man is rich, then the symbolic form of ‘A man is neither happy nor rich is ∼ (p ∨ q).

Explanation:

∵ p : A man is happy.

q : A man is rich.

Symbolic form of A man is not happy is ∼ p.

Symbolic form of A man is not rich is ∼ q.

∴ Symbolic form of ‘A man is neither happy nor rich’ is ∼ p ∧ ∼ q ≡ ∼ (p ∨ q)