Maharashtra State BoardHSC Commerce (Marketing and Salesmanship) 12th Board Exam
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Using the rules of negation, write the negation of the following: (p → r) ∧ q - Mathematics and Statistics

One Line Answer

Using the rules of negation, write the negation of the following:

(p → r) ∧ q

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Solution

~ [(p → r) ∧ q] ≡ ~(p → r) ∨ ~q  ....[Negation of conjunction]

≡ (p ∧ ~ r) ∨ ~q   .....[Negation of implication]

Concept: Mathematical Logic - Statement Patterns and Logical Equivalence
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Chapter 1: Mathematical Logic - Exercise 1.8 [Page 21]
Q 2.1
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Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Exercise 1.8 | Q 2.1 | Page 21
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