Question

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

If a man is bachelor, then he is happy.

Answer 1

Let p: A man is a 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 a bachelor.

Its inverse is ~p → ~q

If a man is not a bachelor, then he is not happy.

Its contrapositive is ~q → ~p

If a man is not happy, then he is not a bachelor.