Algebra 1

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

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Practice and Problem-Solving Exercises - Page 205: 32



Work Step by Step

$-9\lt 3m+6\leq18\longrightarrow$ subtract 6 from each part $-9-6\lt 3m+6-6\leq18-6\longrightarrow$ subtract $-15\lt 3m\leq12\longrightarrow$ divide each part by 3 $-15\div3\lt3m\div3\leq12\div3\longrightarrow$ divide $-5\lt m\leq4$ A parenthesis indicates that -5 is not included in the solution set, while a square bracket indicates that 4 is included in the solution set.
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