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

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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: Statement Patterns and Logical Equivalence
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