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 - Page 219: 28


$\{n\ |\ n\gt-13\}\cap\{n\ |\ n\leq14\}$

Work Step by Step

$-6\lt n+7\leq21\longrightarrow$ subtract 7 from each part $-6-7\lt n+7-7\leq21-7\longrightarrow$ subtract $-13\lt n\leq14$ This solution can be written as $n\gt -13$ AND $n\leq14$ A compound inequality joined by AND is the intersection of the two solution sets.
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