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Question
Using the rules of negation, write the negatlon of the following:
(a) p ∧ (q → r)
(b) ~P ∨ ~q
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Solution
(a) p ∧ (q → r)
~[p ∧ ~ (q → r)]
≡ ~ p ∨ ~ (q → r )
≡ ~ p ∨ ~ (q ∧ ~ r )
(b) ~P ∨ ~q
~[~p ∨ ~q]
≡ ~(~p) ∧ ~(~q)
≡ P ∧ q
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