Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 2TFE: Label each of the following statements as either true or false.
2. for all nonempty sets A and B.
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Question
Consider the following statement.
For all sets A and B,
(A − B) ∪ (A ∩ B) = A.
An algebraic proof for the statement is given below. Select the properties from Theorem 6.2.2 that justify the steps.
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