Write the negation of p → q - Vidyadip

Question

Write the negation of p → q

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Answer

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

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

≡ ∼ ∼ p ∧ ∼ q

≡ p ∧ ∼ q

≡ p ∧ (∼q)

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