i) The negation of p /\ (q implies r ) is
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The negation of P → ∼ P ∨ Q is
Thus ¬p ∨ q means (¬p) ∨ q. The negation of ¬p is the statement with the opposite truth value as ¬p, thus ¬(¬p) is just another name for p. The negation of p ∧ q asserts “it is not the case that p and q are both true”. Thus, ¬(p ∧ q) is true exactly when one or both of p and q is false, that is, when ¬p ∨ ¬q is true.
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