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Question

The negation of ~(pq)r is ______________.

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Solution

Given : ~(p ∧ q) ∨ r
Negation of above statement
is ~(~(p ∧ q) ∨ r)
i.e. ~(~(p ∧ q)) ∧ ~r (By Demorgan's Law)
i.e. (p ∧ q) ∧ ~r
Hence, ~(p ∧ q) ∨ r is equivalent to (p ∧ q) ∧ ~r

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