Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-8 Unions and Intersections of Sets - Practice and Problem-Solving Exercises: 35

Answer

$W\cap X\cap Z$ ={6}

Work Step by Step

$W\cap X\cap Z$ is the intersection of the 3 sets. To be included in the intersection, a member must appear in all 3 of the sets. W={5, 6, 7, 8} X={3, 6, 9} Z={0, 2,4, 6, 8} Eliminate the members that do not belong to all 3 sets. $W={/\!\!\!5, 6, /\!\!\!7, /\!\!\!8}$ $X=\{/\!\!\!3, 6, /\!\!\!9\}$ $Z=\{/\!\!\!0, /\!\!\!2, /\!\!\!4, 6, /\!\!\!8\}$ 6 is the only member that appears in all 3 sets, so the intersection is {6}.
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