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This is Discrete Mathematics.

Lab Task 3 In the domain of integers, consider the following predicates: Let N(x) be the statementx 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-l. (b) Write the negation of your answer to part (a) in the symbols of predicate logic. Simplify your answer so that it uses the A connective. c) Translate your answer from part (b) into an English sentence. (d) Which statement, (a) or (b), is true in the domain of integers? Explain. Student Work

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