## Algebra 1

Published by Prentice Hall

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

#### Answer

Graph Attached: #### 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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