Question

The dual statement of p ∧ ~q is equivalent to ______.

Options

• ~p ∧ q

• p ↔ q

• ~p ∨ q

• ~p → ~q

Answer 1

The dual statement of p ∧ ~q is equivalent to ~p → ~q.

Explanation:

The given statement is: p ∧ ∼q

This means that p is true and q is false.

∼p → ∼q 

This means if p is false, then q is false.

Both expressions are logically equivalent because they are true in the same situations.