Maharashtra State BoardHSC Arts 12th Board Exam
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Using the rule of negation write the negation of the following with justification. (p ∨ ∼ q) ∧ r - Mathematics and Statistics

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Sum

Using the rule of negation write the negation of the following with justification.

(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) ≡ (∼ p ∧ q) ∨ ∼ r ...........(Negation of negation)

Concept: Negations of Compound Statements
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