Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - Chapter Summary, Review, and Test - Review Exercises - Page 109: 48


(A∩C)' U B={1,2,3,4,5,6,7,8}

Work Step by Step

U={1,2,3,4,5,6,7,8} A={1,2,3,4} B={1,2,4,5} C={1,5} We need to find (A∩C)' U B. (A∩C) represents the elements common to both the sets A and C. The common elements are 1. (A∩C)={1} (A∩C)' represents the elements of set U which are not present in Set (A∩C). So, (A∩C)'={2,3,4,5,6,7,8} (A∩C)' U B represents the all elements of set (A∩C)' and the elements of set B which are not present in set (A∩C)'. The elements are 1,2,3,4,5,6,7,8. (A∩C)' U B={1,2,3,4,5,6,7,8}
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