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.
