In the domain of integers, consider the following predicates: Let N(x) be the statement “x + 0". Let P(x, y) be the statement “xy = 1". a. Translate the following statement into the symbols of predicate logic: For all integers x, there is some integer y such that if x + 0, then xy = 1. b. Write the negation of your answer to part a in the symbols of predicate logic, and simplify your answer so that it uses the ^ connective. c. Translate your answer from part b into an English sentence.

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