Intermediate Algebra (6th Edition)

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

Chapter 3 - Review - Page 197: 107


see graph

Work Step by Step

Changing the given inequality, $ 5x-2y\le9 ,$ to equality and then isolating $y$ result to \begin{array}{l}\require{cancel} 5x-2y=9 \\\\ -2y=-5x+9 \\\\ y=\dfrac{-5}{-2}x+\dfrac{9}{-2} \\\\ y=\dfrac{5}{2}x-\dfrac{9}{2} .\end{array} Use the table of values below to graph this line. Since the inequality used is "$ \le $", use a solid line. Using the test point $( 0,0 )$, then \begin{array}{l}\require{cancel} 5(0)-2(0)\le9 \\\\ 0\le9 \text{ (TRUE)} .\end{array} Since the solution above ended with a $\text{ TRUE }$ statement, then the test point is $\text{ part }$ of the solution set.
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