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The negation of p ∧ (q → r) is ________. - Mathematics and Statistics

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Question

The negation of p ∧ (q → r) is ________.

Options

  • ∼p ∧ (∼q → ∼r)

  • p ∨ (∼q ∨ r)

  • ∼p ∧ (∼q → ∼r)

  • ∼p ∨ (q ∧ ∼r)

MCQ
Fill in the Blanks
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Solution

The negation of p ∧ (q → r) is ∼p ∨ (q ∧ ∼r).

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Negations of Compound Statements
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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 32]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 1.6 | Page 32

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