Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.7 - Graphing Linear Inequalities - Exercise Set - Page 188: 70

Answer

Please see the graph.

Work Step by Step

Studying at most 20 hours a week, working at least 10 hours a week $x$ is for the number of hours studying, and $y$ is the number of hours working $x\leq20$ (orange line), $y\geq10$ (purple line) Let's use the point $(0,0)$ to determine what side of the lines to shade. $x\leq20$ $0\leq20$ (true) This is true, so we shade the side of the line with the point. $y \geq10$ $0 \geq 10$ (false) This is false, so we shade the side of the line that doesn't have the point. The intersection of the two lines is shaded orange and purple.
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