Question: Prove that A U (B - A) = A U B. Write set identity that is used in each step. SET IDENTITIES: Commutative Laws: AUB=BUA

Prove that A U (B - A) = A U B. Write set identity that is used in each step. SET IDENTITIES: Commutative Laws: AUB=BUA = Identity Laws: AU=A ANU=A Complement Laws: AU A' = U ANA'= 0 Associative Laws: (AUB) U CE AU (BUC) (ANB) NCEAN (BNC) Distributive Laws: AU (BNC)=(AUB) n(AUC) AN(BU C) = (ANB) U (ANC) De Morgan's Laws: (AUB)' = A'B' (ANB)' = A'UB Absorption Laws: AU(ANB) = A AN(AUB) = A Double Complement Law: (A')' = A Idempotent Laws: AUA=A ANANA Universal Bound Laws: A U U = U An = 0 Set Difference Law: A-B=AB Complements of U and : U' = 0 '=U

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