College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.5 - Page 572: 71


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Work Step by Step

The inequality $y > \displaystyle \frac{3}{2}x-2$ is graphed with a dashed border line $y = \displaystyle \frac{3}{2}x-2$, which has a y-intercept=$-2,$ and for x=2, y=1. Draw a dashed line through ($0,-2)$ and $(2,1).$ Test point: (0,0).$ \quad $Is $0 > \displaystyle \frac{3}{2}(0)-2?$ Yes, shade the region containing (0,0) The inequality $y < 4$ is graphed with a dashed border line $y = 4.$ Shade the region below the line $y=4.$ The solution set for their UNION is the region with EITHER shading.
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