Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.4 Linear Inequalities in Two Variables - Exercise Set 7.4 - Page 454: 30

Answer

See below:

Work Step by Step

Substitute the coordinates of origin in the given system of inequalities and check whether the inequalities are true or not as: \[\begin{align} & x\ge 4 \\ & 0\ge 4 \\ \end{align}\] The above inequality is not true. Thus, the region shaded is away from the origin for the inequality\[x\ge 4\]. And, \[\begin{align} & y\le 2 \\ & 0\le 2 \\ \end{align}\] The above inequality is true. Thus, the region shaded is towards the origin for the inequality\[y\le 2\]. Thus, the graph of the system of linear inequalities, \[\begin{align} & x\ge 4 \\ & y\le 2 \\ \end{align}\]is the common region of both the graphs and is shown below:
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.