Algebra: A Combined Approach (4th Edition)

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

Chapter 11 - Cumulative Review - Page 835: 13

Answer

Please see the graph.

Work Step by Step

Red graph: $3x\ge y$ Blue graph: $x+2y\le8$ To determine the solutions of the system, we need to pick a point and determine if that point is a solution for each graph. We pick $(1,1)$ for both graphs. $(1,1)$ Red graph: $3x\ge y$ $3*1\ge 1$ $3 \ge 1$ (true) Since this is true, we shade the side of the line with the point. $(1,1)$ Blue graph: $x+2y\le8$ $1+2*1\le8$ $1+2 \le 8$ $3 \le 8$ (true) Since this is true, we shade the side of the line with the point. The solution of the graph is the overlap of the two graphs.
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.