Question

What is the contrapositive of the following conditional?

If you baby-sit on Saturaday night, then you are busy on Saturday night.

Answer 1

If you are not busy on Saturday night, then you do not baby-sit on Saturday night

Explanation:

For a conditional if P then Q, the contrapositive is if not Q, then not P.

For the given conditional, ...

P = you baby-sit on Saturday night

Q = you are busy on Saturday night

So, the contrapositive is ...

If you are not busy on Saturday night, then you do not baby-sit on Saturday night.