Question: 9. Let P(x, y, z) be the predicate x + y = 2. (a) Simplify the statement (Vx)(Vy)(3)P(x, y, z) so that no quantifier

9. Let P(x, y, z) be the predicate "x + y =

9. Let P(x, y, z) be the predicate "x + y = 2." (a) Simplify the statement (Vx)(Vy)(3)P(x, y, z) so that no quantifier lies within the scope of a negation. (b) Is the statement (Vx) (Vy)(32) P(x, y, z) true in the domain of all integers? Explain why or why not. (c) Is the statement (Vx) (Vy)(3)P(x, y, z) true in the domain of all integers between 1 and 100? Explain why or why not.

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