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.
