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 - 2.2 - Solving Inequalities Using Addition or Subtraction - Exercises - Page 65: 14

Answer

$q\leq 12$ The graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow 15\geq q+3$ Subtract $3$ from each side. $\Rightarrow 15-3\geq q+3-3$ Simplify. $\Rightarrow 12\geq q$ Hence, the solution is $q\leq 12$. Use a close circle because $12$ is a solution. Shade the number line on the left side.
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