Write the converse, inverse, and contrapositive of the following statement.

If it snows, then they do not drive the car.

#### SOLUTION

Let p : It snows.

q : They do not drive the car.

∴ The given statement is p → q.

Its converse is q → p.

If they do not drive the car then it snows.

Its inverse is ~p → ~q.

If it does not snow then they drive the car.

Its contrapositive is ~q → ~p.

If they drive the car then it does not snow.