Let A, B and C be any sets (subsets of some universal set U). Use the choose-an-element method to prove that (A – C)n (B – C) = (An B) – C. Reminder: This requires proving two things: (1) (A – C)n(B – C) C (AnB) – C (2) (An B) – C C (A – C)n (B – C)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let A, B and C be any sets (subsets of some universal set U).
Use the choose-an-element method to prove that (A – C)N (B – C) = (An B) – C.
Reminder: This requires proving two things:
(1) (A – C)n(B – C) C (An B) - C
(2) (AnB) – C C (A– C)n(B – C)
Transcribed Image Text:Let A, B and C be any sets (subsets of some universal set U). Use the choose-an-element method to prove that (A – C)N (B – C) = (An B) – C. Reminder: This requires proving two things: (1) (A – C)n(B – C) C (An B) - C (2) (AnB) – C C (A– C)n(B – C)
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