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

Prove verbally without referencing a Venn diagram, can use a Vennn diagram to visually see it but cannot be a reference in proof.

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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Expert Solution

Colby Messinger answered 6 months ago

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