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For any two statements p and q, the negation of the expression p∨(~p∧q) is:

1. ~p∧~q
2. p∧q
3. p↔q
4. ~p∨~q

Correct answer: ~p∧~q

Solution

p v (~p ^ q) = (p v ~p) ^ (p v q) = p v q. Its negation is ~(p v q) = ~p ^ ~q.

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