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: 37

Answer

A'∩B' = {6,7,8}

Work Step by Step

Given, U={1,2,3,4,5,6,7,8} A={1,2,3,4} B={1,2,4,5} We need to find (A'∩B'). A' = all the elements of set'U' which are not there in set A = {5,6,7,8} B' = all the elements of set'U' which are not there in set B = {3,6,7,8} A'∩B'={5,6,7,8} ∩ {3,6,7,8} = {6,7,8} (All the common elements of set A' and the set B'). (AUB)' = all the elements of set'U' which are not there in set AUB = {6,7,8}
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