Thinking Mathematically (6th Edition)

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

Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3 - Page 82: 103

Answer

See below.

Work Step by Step

$(B\cap C)'$ is the set of all numbers that are not both a natural even number and less than $9$ and a number that is both natural and less than $6$ and greater than $1$. Thus $(B\cap C)'$ is the set of numbers in $U$ that are not in $\{2,4\}$Thus $(B\cap C)'=\{1,3,5,6,7,8\}$.
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