Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10}. Prove the following; (A − B) − C = (A − C) − (B − C) A ∪ (B ∪ C) = (A ∪ B) ∪ C

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10}.

Prove the following;

  1. (A − B) − C = (A − C) − (B − C)
  2. A ∪ (B ∪ C) = (A ∪ B) ∪ C
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