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The negation of the proposition “If 2 is prime, then 3 is odd”, is ______. - Mathematics and Statistics

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Question

The negation of the proposition “If 2 is prime, then 3 is odd”, is ______.

Options

  • If 2 is not prime, then 3 is not odd.

  • 2 is prime and 3 is not odd.

  • 2 is not prime and 3 is odd.

  • If 2 is not prime, then 3 is odd.

MCQ
Fill in the Blanks
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Solution

The negation of the proposition “If 2 is prime, then 3 is odd”, is 2 is prime and 3 is not odd.

Explanation:

Let p : 2 is prime, q : 3 is odd

∴ ∼(p → q) ≡ p ∧ ∼q

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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 30]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 1.07 | Page 30

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