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Question
The negation of (p ∨ ∼q) ∧ q is ______
Options
(∼p ∨ q) ∧ ∼q
(p ∧ ∼q) ∨ q
(∼p ∧ q) ∨ ∼q
(p ∧ ∼q) ∨ ∼q
MCQ
Fill in the Blanks
Solution
The negation of (p ∨ ∼q) ∧ q is (∼p ∧ q) ∨ ∼q.
Explanation:
∼[(p ∨ ∼q) ∧ q]
≡ ∼(p ∨ ∼q) ∨ ∼q ..........[De Morgan's Law]
≡ (∼p ∧ q) ∨ ∼q
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