Algebra 1

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

Chapter 3 - Solving Inequalities - Chapter Test - Page 227: 10

Answer

Graph Attached:
1536191564

Work Step by Step

To solve 9$\leq$$6-b$$\lt$$12$, isolate b. To do this, subtract 6 from each side of the inequality and then, divide by -1. It becomes $-3$$\geq$$b$$\gt$$-6$. Notice that the signs switched because we divided by -1 on both sides of the equation. Rewrite the equation as $-6$$\lt$$b$$\leq$$-3$. To graph, place an open circle on -6 because the answer doesn't include the value -6 (you also know to not shade it because the inequality only includes the "greater than" sign when dealing with the -6 part). Also, place a solid circle on -3 because the answer includes the value -3 (you also know to shade it because the inequality includes the "and" symbol along with the "less than" symbol when dealing with the -3 part). Then, shade in between the two circles since the other values of b have to be greater than -6 and less than or equal to -3.
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