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Consider the binary operations on X, a*b = a+b+4, for a, b ∈ X. It satisfies the properties of _______

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Consider the binary operations on X, a*b = a+b+4, for a, b ∈ X. It satisfies the properties of _______

(a) abelian group

(b) semigroup

(c) multiplicative group

(d) isomorphic group

This question was posed to me in homework.

My question is from Groups in portion Groups of Discrete Mathematics

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Best answer
The correct option is (a) abelian group

Easiest explanation: Since * closed operation, a*b belongs to X. Hence, it is an abelian group.

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