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11. For sets A and B, define AAB = (A\B) U (B \ A). (a) Let A and B be sets. Prove that A = B if and only if AA B = 0). ΒΔΑ. (b) Let A and B be sets. Prove that AA B = (c) Let A, B, and C be sets. Prove that (A ▲ B) AC = AA (BAC).

11. For sets A and B, define AAB = (A\B) U (B \ A). (a) Let A and B be sets. Prove that A = B if and only if AA B = 0). ΒΔΑ. (b) Let A and B be sets. Prove that AA B = (c) Let A, B, and C be sets. Prove that (A ▲ B) AC = AA (BAC).

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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11. For sets A and B, define AAB = (A \ B) U (B \ A). (a) Let A and B be sets. Prove that A = B if and only if AAB = 0. (b) Let A and B be sets. Prove that AAB ΒΔΑ. (c) Let A, B, and C be sets. Prove that (AA B) AC = AA (BAC). =
Transcribed Image Text:11. For sets A and B, define AAB = (A \ B) U (B \ A). (a) Let A and B be sets. Prove that A = B if and only if AAB = 0. (b) Let A and B be sets. Prove that AAB ΒΔΑ. (c) Let A, B, and C be sets. Prove that (AA B) AC = AA (BAC). =
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