Algebra: A Combined Approach (4th Edition)

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

Chapter 13 - Section 13.4 - Nonlinear Inequalities and Systems of Inequalities - Exercise Set - Page 955: 34

Answer

Please see the graph.

Work Step by Step

Red line: $x-y0$ Green line: $y>0$ To determine what side of the lines to shade, we pick a point, and if the results from the inequality are true, we shade the side of the line with the point. We pick $(2,2)$ in determining what sides of the lines to shade. $x-y0$ $4*2-3*2>0$ $8-6 > 0$ $2 > 0$ (true, so we shade the side of the line with the point) $y>0$ $2 > 0$ (true, so we shade the side of the line with the point) The solution set for the inequalities is the overlap of the three solution sets (of the inequalities).
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