Question

If p is true and q is true, then ~ p ~ q is _____ true.
Always, Sometimes, Never

Answer 1

p q ~p ~ q ~ p ~ q

T T F F F

Thus. If p is true and q is true, then ~ p ~ q is NEVER true.

Explanation:

We know that '~' takes the truth value of the original statement then output the exact opposite of its truth.

Given that

• if p and q us true.

Let us check what would be the output of ~ p ~ q

Let us form the tabel

p q ~p ~ q ~ p ~ q

T T F F F

Thus. If p is true and q is true, then ~ p ~ q is NEVER true.