Show that if A and B are sets with A ⊆ B, then a) A ∪ B = B. b) A ∩ B = A.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 16E: In Exercises , prove each statement.
16. If and , then .
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Show that if A and B are sets with A ⊆ B, then
a) A ∪ B = B.
b) A ∩ B = A.
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