Let A = { a, e, i, o, u } and B = { a, i, u }. Show that 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 36E: Prove or disprove that AB=AC implies B=C.
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Let A = { a, e, i, o, u } and B = { a, i, u }. Show that A ∪ B = A

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Step 1

A ∪ B ={ a, e, i, o, u } ∪ { a, i, u }

          = { a, e, i, o, u }

         = A

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