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Let ⋆ be an operation on a nonempty set S. If S1, S2 ⊂ S are...

Let ⋆ be an operation on a nonempty set S. If S1, S2 ⊂ S are closed with respect to ⋆, is S1 ∪ S2 closed with respect to ⋆? Justify your answer.

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