Intermediate Algebra (6th Edition)

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

Chapter 4 - Section 4.5 - Systems of Linear Inequalities - Exercise Set - Page 243: 12

Answer

Please see the graph.

Work Step by Step

Red line: $x\ge -3$ Blue line: $y\ge -2$ Let's use the point $(0,0)$ to determine what sides of the lines to shade. Red line: $x\ge -3$ $0\ge -3$ (true) This is true, so we shade the side of the line that does have the point. The inequality has the "greater than or equal sign" sign, so we use a solid line. Blue line: $y\ge -2$ $y\ge -2$ $0 \ge -2$ (true) This is true, so we shade the side of the line that does have the point. The inequality has the "greater than or equal" sign, so we use a solid line. The solution area for the system on inequalities is the area that is shaded both blue and red.
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