Here is a possible alternative to Definition 3.2: We say that a is divisible by b

Chapter 3, Problem 3.2.

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Here is a possible alternative to Definition 3.2: We say that a is divisible by b provided a b is an integer. Explain why this alternative definition is different from Definition 3.2. Here, different means that Definition 3.2 and the alternative definition specify different concepts. So, to answer this question, you should find integers a and b such that a is divisible by b according to one definition, but a is not divisible by b according to the other definition.

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