Question: b and c Use De Morgan's law for quantified statements and the laws of propositional logic to show the following equivalences (a) -VX (P(x) A-Q(x))

b and c

Use De Morgan's law for quantified statements and the laws of propositional logic to show the following equivalences (a) -VX (P(x) A-Q(x)) = 3x (-P(x) v Q(x)) Solution (b) -VX(-P(x) = Q(x)) = 3x (-P(x) A-Q(x)) 3x (P(x) v (Q(x) A-R(x))) = x (P(x) A(-Q(x) v R(x)))

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