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Choose the correct alternative: Which of the following is always true? - Mathematics and Statistics

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Question

Choose the correct alternative:

Which of the following is always true?

Options

  • (p → q) ≡ ∼ q → ∼ p

  • ∼ (p ∨ q) ≡ ∼ p ∨ ∼ q

  • ∼ (p → q) ≡ p ∧ ∼ q

  • ∼ (p ∨ q) ≡ ∼ p ∧ ∼ q

  • ∼ (p → q) ≡ p ∧ ∼ q and ∼ (p ∨ q) ≡ ∼ p ∧ ∼ q

MCQ
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Solution

∼ (p → q) ≡ p ∧ ∼ q and ∼ (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 1.09 | Page 30
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