Answer:
If p → q is true, then ~ q → ~ p is never false.
Step-by-step explanation:
If p → q is true, then we need to check whether the statement ~ q → ~ p is true or false.
Truth table:
p q ~ p ~ q p → q ~ q → ~ p
T T F F T T
T F F T F F
F T T F T T
F F T T T T
From the above table it is clear that p → q is true, then ~ q → ~ p is always true.
If p → q is true, then ~ q → ~ p is never false.
