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Write the converse, inverse, contrapositive of the following statement. If a man is bachelor, then he is happy. - Mathematics and Statistics

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प्रश्न

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

If a man is bachelor, then he is happy.

योग

उत्तर

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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अध्याय 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३३]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.15 | पृष्ठ ३३

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