The following statement is false: If x, y, and z are integers and x > y, then xz > yz

Chapter 0, Problem 8

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The following statement is false: If x, y, and z are integers and x > y, then xz > yz. Please do the following: a. Find a counterexample. b. Modify the hypothesis of the statement by adding a condition concerning z so that the edited statement is true.

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