Determine whether or not each of the definition of given below gives a – InterviewSolution

1.

Determine whether or not each of the definition of given below gives a binary operation. In the event that is not a binary operation, give justification for this.On Z+ , define * by a * 6 = |a – b|

Answer»

a ∈ Z⁺ , b ∈ Z⁺ , |a – b| ∈ Z⁺

∴ a * b ∈ Z⁺

∴ * is a binary operation.

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