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Let P(x), Q(x) be premises in the free variable x. Express each of the following three...

Let P(x), Q(x) be premises in the free variable x. Express each of the following three sentences using logical symbols.

i. Either P(x) is never true or P(x) is true for at least two values of x.

ii. For exactly one x, P(x) and Q(x) are both false or both true.

iii. At most one of P(x) and Q(x) is true for each x

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