Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 2 - Solving Linear Inequalities - 2.3 - Solving Inequalities Using Multiplication or Division - Monitoring Progress - Page 68: 4

Answer

$q\lt -12$ The graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow -18\gt 1.5q$ Divide each side by $1.5$. $\Rightarrow -\frac{18}{1.5}\gt \frac{1.5q}{1.5}$ Simplify. $\Rightarrow -12\gt q$ Hence, the solution is $ q\lt -12$. Use an open circle because $-12$ is not a solution. Shade the number line on the left side.
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