Question: Prove that for any set x , the set P(x) , together with the binary operation , forms an abelian group in which every

Prove that for any set x , the set P(x) , together with the binary operation △ , forms an abelian group in which every non-identity element has order 2.

Prove that for any non-empty set x , the set P(x) forms a commutative ring in which every element equals its square, where the binary operations for addition and multiplication are △ and ∩ respectively.

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