Come up with 1 set with an operation that is a group. i.e., itmust have the four

Question

Come up with 1 set with an operation that is a group. i.e., itmust have the four properties of: 1) the set is a closed under the operation 2) the set is associative under the operation 3) the set has the identity element under the operation thatis also an element of the set 4) every element of the set has an inverse under the operationthat is also an element of the set Come up with 1 set with an operation that is a group. i.e., itmust have the four properties of: 1) the set is a closed under the operation 2) the set is associative under the operation 3) the set has the identity element under the operation thatis also an element of the set 4) every element of the set has an inverse under the operationthat is also an element of the set

Explanation / Answer

the integers under addition form a group the reals under addition form a group the non-zero reals under multiplication form a group

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