Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 3 - Section 3.6 - Graphing Linear Inequalities in Two Variables - Practice - Page 260: 3

Answer

Please see the graph, made using graphing software.

Work Step by Step

$x-4y\leq4$ Treat this line as $x-4y=4$ to draw the boundary line. Two points on the line Let $x=0$ $x-4y=4$ $0-4y=4$ $-4y=4$ $-4y/-4=4/-4$ $y = -1$ Let $y=0$ $x-4y=4$ $x-4*0=4$ $x-0=4$ $x=4$ $(0,-1)$ and $(4,0)$ are on the boundary line. The test point is $(0,0)$ (to see what side we will shade). $x-4y\leq4$ $0-4*0\leq 4$ $0-0 \leq 4$ $0 \leq 4$ is a true statement, so we shade the side of the line with the test point.
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.