College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.7 - Systems of Inequalities - 8.7 Assess Your Understanding - Page 624: 54

Answer

$x\geq0$ $x\leq6$ $y\geq0$ $y\leq5$ $y\leq-x+2$

Work Step by Step

There are two vertical lines: x=0 and x=6 The area is to the right of x=0, so $x\geq0$. It is to the left of x=6, so $x\leq6$. There are two horizontal lines: y=0 and y=5. The area is over y=0, so $y\geq0$. It is under y=5, so $y\leq5$. There is a linear function with a slope of $m=\frac{0-2}{2-0}=\frac{-2}{2}=-1$ and a y-intercept of (0,2). Also, the area is under the line, so $y\leq-x+2$
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