Which of the following is not a group with re | vedclass

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(B) set $G$ with a binary operation $*$ is a group if it satisfies closure,associativity,existence of identity,and existence of inverse.For the set of

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The set of odd integers under addition

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(B) set $G$ with a binary operation $*$ is a group if it satisfies closure,associativity,existence of identity,and existence of inverse.For the set of odd integers under addition,let $a = 1$ and $b = 3$. Then $a + b = 4$,which is an even integer.Since the sum of two odd integers is always even,the set of odd integers is not closed under addition.Furthermore,the identity element for addition is $0$,which is not an odd integer.Therefore,the set of odd integers under addition is not a group.

Which of the following is not a group with respect to the given operation?

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