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Prove verbally without referencing a Venn diagram, can use a Vennn diagram to visually see it...

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Advance Math

Prove verbally without referencing a Venn diagram, can use aVennn diagram to visually see it but cannot be a reference inproof.

a) Let A be a set. Prove that A? A.

b) Let A, B, and U be sets so that A ? U and B? U. Prove that A ? B if and only if (U B)? (U A)

c) Let A, B be sets. Prove that A (A ? B) =A B

d) Let A, B be sets. Prove that A (B A) = A

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