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Write the negation of p → q - Mathematics and Statistics

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प्रश्न

Write the negation of p → q

योग

उत्तर

∼ p → q ≡  (∼p ∨ q)   .......[∵ p → q ≡ ∼p ∨ q]

≡ ∼ (∼p) ∨ ∼ q       .......[De’Morgan’s Law]

≡ ∼ ∼ p ∧ ∼ q

≡  p ∧ ∼ q

≡ p ∧ (∼q)

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अध्याय 1.1: Mathematical Logic - Very Short Answers

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