A, B, and C are subsets of a set S. Prove the following set identities using the basic set identities listed in this section. Give a reason for each step. State the dual of each of these identities. d. A ∩ (B ∪ A′) = B ∩ A e. (A ∪ B) − C = (A − C ) ∪ ( B − C ) f. (A − B) − C = (A − C ) – B

A, B, and C are subsets of a set S. Prove the following set identities using the basic set identities listed in this section. Give a reason for each step. State the dual of each of these identities. d. A ∩ (B ∪ A′) = B ∩ A e. (A ∪ B) − C = (A − C ) ∪ ( B − C ) f. (A − B) − C = (A − C ) – B

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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