Write the converse, inverse, contrapositive of the following statement.
If a man is bachelor, then he is happy.
Let p : A man is bachelor.
q : A man is happy.
∴ The given statement is p → q.
Its converse is q → p.
If a man is happy then he is bachelor.
Its inverse is ~p → ~q.
If a man is not bachelor then he is not happy.
Its contrapositive is ~q → ~p.
If a man is not happy then he is not bachelor.
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