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

If he studies, then he will go to college.

#### SOLUTION

Let p : He studies.

q : He will go to college.

∴ The given statement is p → q.

Its converse is q → p.

If he will go to college then he studies.

Its inverse is ~p → ~q.

If he does not study then he will not go to college.

Its contrapositive is ~q → ~p.

If he will not go to college then he does not study.