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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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.

बेरीज
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उत्तर

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.

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