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

Write Converse and Inverse of the Following Statement: “If a Man is a Bachelor Then He is Unhappy.” - Mathematics and Statistics

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प्रश्न

Write converse and inverse of the following statement: 
“If a man is a bachelor then he is unhappy.” 

बेरीज

उत्तर

If a man is a bachelor , then he is unhappy.

Let P : A man is a bachelor
      q : He is unhappy
(a) Its converse is q → p
i.e. , If a man is unhappy then he is a bachelor.
(b) Its inverse is ∼ p → ∼ q
i.e. , If a man is not bachelor then he is happy.
(c) Its contrapositive is ∼ q → ∼ p
i.e., If a man is happy then he is not a bachelor.

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2018-2019 (February) Set 1

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