Question: Prove that (A Intersection B) Union (A Intersection B) = A. Use an element-wise proof. SOLUTION: It must be shown that both sets are subsets

 Prove that (A Intersection B) Union (A Intersection B) = A.

Prove that (A Intersection B) Union (A Intersection B) = A. Use an element-wise proof. SOLUTION: It must be shown that both sets are subsets of each other (two sets are equal if and only if they are subsets of one another)

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