Question

If p→q, then ~p→~q is true. true or false

Answer 1

might be easier with words:

if (it is raining), then (i am wet).

if (it is NOT raining), then (i am NOT wet) ... this is not necessarily true

Answer 2

Adding to what amistre said, the inverse of a statement is never true.

Answer 3

\[\begin{array}{} Statement: P\Rightarrow Q \\ Inverse: \neg P \Rightarrow \neg Q\end{array} \]

Answer 4

you can see it with an example :
take,
p = F
q = T

p->q = T
~p->~q = F