Answered: 10. For all sets A, B, and C, (A – B) N…

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10. For all sets A, B, and C, (A – B) N (C – B) = (AN 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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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

Use an element argument to prove each statement in 7–19.
Assume that all sets are subsets of a universal set U.

10. For all sets A, B, and C,
(А — В)N (С — В) 3 (ANC) — В.

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