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

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Sum

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

(p → q) ∧ r

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Solution

The negation of (p → q) ∧ r is
∼ [(p → r) ∧ r]
≡ ∼ (p → q) ∨ (∼r) ............(Negation of conjunction)
≡ (p ∧ ∼q) ∨ (∼r) ........(Negation of implication)
[Note: Answer in the textbook is incorrect.]

Concept: Algebra of Statements
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 11.3 | Page 34
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