Question

The inverse of p q is:

Answer 1

-p -q is the inverse or pq

Answer 2

the inverse of pq is ~p~q.

Explanation:

Let's see what an inverse is.

To form the inverse statement we will take the negation of both the hypothesis and the conclusion.

For example, The statement is "If it rains, then I will take umbrella."

Here the hypothesis is "If it rains" and conclusion is "I will take umbrella"

The inverse of the statement is "if it does not rain, then I will not take umbrella."

You can see we take negation in both the hypothesis and the conclusion.

So,

The inverse of p is ~p and the inverse of q is ~q

Therefore, the inverse of pq is ~p~q.