Question

If p>q is true, then ~q>~p is _______ false.

a. always
b. sometimes.
c. never

Answer 1

Answer: The correct option is

(c) never.

Step-by-step explanation: We are given to check fill the following blank with always, sometimes or never :

If p > q is true, then ~q > ~p is _______ false.

We know that

~q > ~p is the contrapositive of the statement p > q. And, the contrapositive of a statement is same as the original statement.

p > q implies that ~p < ~q and so we get ~q > ~p.

Since this is always true, so ~q > ~p is NEVER False.

Thus, the complete statement is

If p > q is true, then ~q > ~p is NEVER false.

Option (c) is correct.

Answer 2

If p>q is true, then ~q>~p is never false. The answer to your question is C. I hope that this is the answer that you were looking for and it has helped you.