Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 6 - Systems of Equations and Inequalities - 6-5 Linear Inequalities - Lesson Check - Page 397: 3


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Work Step by Step

We are given $x \lt -1$ Graph the boundary line $x \lt -1$. Since the inequality symbol is $\lt$, the points on the boundary line are not solutions. Use a dashed line to indicate that the points are not included in the solution. To determine which side of the boundary line to shade, test a point that is not on the line. For example, test the point $(0, 0)$. $0 \lt -1$ Because the point $(0, 0)$ is a solution of the inequality, all the points on the same side of the boundary line as $(0, 0)$ are solutions. Shade the area to the left of the boundary line.
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