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: 34

Answer

$X\cap Y\cap Z$={ }

Work Step by Step

$X\cap Y\cap Z$ is the intersection of the 3 sets. To be included in the intersection, a member must appear in all 3 of the sets. X={3, 6, 9} Y={2, 3, 7, 8} Z={0, 2,4, 6, 8} Eliminate the members that do not belong to all 3 sets. $X=\{/\!\!\!3, /\!\!\!6, /\!\!\!9\}$ $Y=\{/\!\!\!2, /\!\!\!3, /\!\!\!7, /\!\!\!8\}$ $Z=\{/\!\!\!0, /\!\!\!2, /\!\!\!4, /\!\!\!6, /\!\!\!8\}$ Since there is no member that appears in all 3 sets, the intersection is an empty set.
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