Write the converse, inverse and contrapositive of the following statement.'If a man is rich, then he is happy.'

Q.2 (A) (i) Write the converse, inverse and contrapositive of the following statement.

'If a man is rich, then he is happy.'

Doubtly Asked 28 Oct 2026 Board exam · June 2026 hsc 12th Save WhatsApp Report

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Answer:

Let \(p\): A man is rich, \(q\): He is happy. The statement is \(p\to q\).

Converse (\(q\to p\)): If a man is happy, then he is rich.
Inverse (\(\sim p\to\sim q\)): If a man is not rich, then he is not happy.
Contrapositive (\(\sim q\to\sim p\)): If a man is not happy, then he is not rich.

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report

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