(See Solution) (i) Use truth tables to verify, or otherwise, the following equivalence. ≠g(p wedge; ≠g q) ∨ ≠g r \equiv ≠g p ∨ q ∨

Question: (i) Use truth tables to verify, or otherwise, the following equivalence.

\[\neg(p \wedge \neg q) \vee \neg r \equiv \neg p \vee q \vee \neg r\]

(ii) Determine the truth value of each of the following statements. The domain is the set of integers.

$\forall x\,\,\exists y\,\,\,\,x+y=0$
\[\forall x\,\,\exists y\,\,\,x>y\]
$\exists x\,\,\exists y\,\,((x>1)\wedge (y>1)\wedge (xy=3)$ )

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(See Solution) (i) Use truth tables to verify, or otherwise, the following equivalence. ≠g(p wedge; ≠g q) ∨ ≠g r \equiv ≠g p ∨ q ∨

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