Algebra 1

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

Chapter 3 - Solving Inequalities - 3-3 Solving Inequalities Using Multiplication or Division - Practice and Problem-Solving Exercises - Page 181: 25

Answer

$b\leq-\frac{1}{6}$

Work Step by Step

$18b\leq-3\longrightarrow$ divide both sides by 18 $18b\div 18\leq-3\div18\longrightarrow$ divide $b\leq -\frac{1}{6}$ Check the endpoint. $18(-\frac{1}{6})\overset?=-3$ $-3=-3\checkmark$ Check the inequality. $18(-{1})\overset?\leq-3$ $-18\leq-3\checkmark$ Since $-\frac{1}{6}$ is included in the solution, the endpoint of the graph is a solid circle.
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