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Question
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.
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