Question

If I is the set of integer and binary operation is defined by a* b = a+b+2 , then prove that I is an abelian group

Answer 1

Answer:

Let a,b € I

a*b = a + b + 2

b*a = b + a + 2

= a + b + 2

= a*b

Hence, the binary operation is abelian or commutative.

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