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.
