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Establish the following set theoretic relations: a) AUB=BUA, ANB=BnA (Commutativity) b) AU (BUC) = (AUB) UC, An (BOC) = (An B) nC (Associativity) c) AU (BOC) = (AUB) n(AUC) and An (BUC) = (An B)U(ANC) (Distributivity) d) ACB Be CAC e) A\B= An Be f) (AUB) = An B and (An B) = A U B (De Morgan's laws)

Establish the following set theoretic relations: a) AUB=BUA, ANB=BnA (Commutativity) b) AU (BUC) = (AUB) UC, An (BOC) = (An B) nC (Associativity) c) AU (BOC) = (AUB) n(AUC) and An (BUC) = (An B)U(ANC) (Distributivity) d) ACB Be CAC e) A\B= An Be f) (AUB) = An B and (An B) = A U B (De Morgan's laws)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Establish the following set theoretic relations: a) AUB=BUA, AnB = BnA (Commutativity) b) AU (BUC) = (AUB) UC, An (BNC) = (An B) nC (Associativity) c) AU (BNC) = (AUB) n(AUC) and An (BUC) = (ANB) U (ANC) (Distributivity) d) ACB Bc C Ac e) A\B= An Be f) (AUB) = Aºn B and (An B) = A U B (De Morgan's laws)
Transcribed Image Text:Establish the following set theoretic relations: a) AUB=BUA, AnB = BnA (Commutativity) b) AU (BUC) = (AUB) UC, An (BNC) = (An B) nC (Associativity) c) AU (BNC) = (AUB) n(AUC) and An (BUC) = (ANB) U (ANC) (Distributivity) d) ACB Bc C Ac e) A\B= An Be f) (AUB) = Aºn B and (An B) = A U B (De Morgan's laws)
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