Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Entry-Level Assessment - Page xxxvii: 21

Answer

$$\text{D}$$

Work Step by Step

Recall: A vertical line that crosses the $x$-axis at $h$ has an equation $x=h$. The graph has a vertical line that crosses the $x$-axis at $5$ so its equation is $x=5$. The region to the left of the vertical line $x=5$ is shaded. Since the line is solid, this means that the inequality that represents the region is $x \le 5$. Among the choices, only the system of linear inequalities in Option $\text{D}$ contains the inequality $x \le 5$. Therefore, the answer is Option $\text{D}$.
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