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Question
Write the converse, inverse, contrapositive of the following statement.
If a man is bachelor, then he is happy.
Solution
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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