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 ∧ (q ∨ r)]
≡ ∼p ∨ ∼(q ∨ r) ..........(Negation of conjunction)
≡ ∼p ∨ (∼q ∧ ∼r) ..........(Negation of disjunction)

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 11.2 | Page 34
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