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Given that A, B, and C are sets, determine if each statement below is true or...

Given that A, B, and C are sets, determine if each statement below is true or false.

Prove your answer using set builder notation and logical equivalences and/or giving a counterexample.

i. If A ⋃ C = B ⋃ C, then A = B.

ii. If A = B ⋃ C, then (A − C) ⋃ (B ∩ C) = B

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A, B, and C are sets

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