Determine if there exist a nonempty set S with operation ⋆ on S and a nonempty...

Determine if there exist a nonempty set S with operation ⋆ on S and a nonempty set S′ ⊂ S, which is closed with respect to ⋆, satisfying the following properties.

1) S has identity e with respect to ⋆. ′

2) e ∈/ S .

3) S′ has an identity with respect to ⋆.

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Expert Solution

Colby Messinger answered 1 year ago

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