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in Sets, Relations and Functions by (49.9k points)
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Show that * on Z+ defined by a * b = | a – b | is not a binary operation.

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We know that Z+ defined by a * b = | a – b | for a, a ∈ Z+

So a * a = |a – a| = 0 ∉ Z+

Therefore, * is not a binary operation.

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