15. Define the symmetric difference A + B of sets A and B to be the set (A - B)u (B- A). (a) Show that An (B C)-(An B)(An c). (b) Show that A(B C) (A+B)+C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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15. Define the symmetric difference A + B of sets A and B to be the set
(A - B)u (B- A).
(a) Show that An (B C)-(An B)(An c).
(b) Show that A(B C) (A+B)+C.
Transcribed Image Text:15. Define the symmetric difference A + B of sets A and B to be the set (A - B)u (B- A). (a) Show that An (B C)-(An B)(An c). (b) Show that A(B C) (A+B)+C.
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