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 - Practice and Problem-Solving Exercises - Page 397: 20

Answer

See the graph

Work Step by Step

We are given $y \gt -3x$ Graph the boundary line $y=-3x$. Since the inequality symbol is $\gt$, 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 $(0, 0)$. $0 \gt -3(0)$ $0\gt 0 $ 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 above the boundary line.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.