Q. 1 D4.5( 15 Votes )
It is given On Z+, define ∗ by a ∗ b = | a – b|
We can see that for each a, b ϵ Z+, there is a unique element |a – b| in Z+.
⇒ * carries each pair (a, b) to a unique element a * b = |a – b| in Z+.
Therefore, * is a binary operation.
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