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(b) A\(BUC) = (A\B)n (A\ C)

(b) A\(BUC) = (A\B)n (A\ C)

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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2.5.21 Part b only
2.5.20. Let S (ER:(r-2)(x+3) <0}, T the Use set operations to write a simple relation between 46 CHAPTER 2. SETS, FUNCTIONS AND THE FIELD AXIOMS 2.5.21. Prove the following set identities. (a) (AN B)e = A°U B° (b) A\(BUC) = (A\B)n(A\C) (c) A\(B\C) = (A\ B)U (AnC) (d) (An B)\ (BnC) = An (B\ C) 2.5.22. Let A, B,C be three sets. Prove that if A\BCC 2.5.23. Let A, B be two subsets of some universal set U 2.5.24. Let. A, B,C and D ke four sets. Pro
Transcribed Image Text:2.5.20. Let S (ER:(r-2)(x+3) <0}, T the Use set operations to write a simple relation between 46 CHAPTER 2. SETS, FUNCTIONS AND THE FIELD AXIOMS 2.5.21. Prove the following set identities. (a) (AN B)e = A°U B° (b) A\(BUC) = (A\B)n(A\C) (c) A\(B\C) = (A\ B)U (AnC) (d) (An B)\ (BnC) = An (B\ C) 2.5.22. Let A, B,C be three sets. Prove that if A\BCC 2.5.23. Let A, B be two subsets of some universal set U 2.5.24. Let. A, B,C and D ke four sets. Pro
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