Intermediate Algebra (6th Edition)

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

Chapter 3 - Review: 108

Answer

see graph
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Work Step by Step

Changing the given inequality, $ 2x\le6y ,$ to equality and then isolating $y$ result to \begin{array}{l}\require{cancel} 2x=6y \\\\ \dfrac{2}{6}x=y \\\\ y=\dfrac{1}{3}x .\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 $( 0,2 )$, then \begin{array}{l}\require{cancel} 2(0)\le6(2) \\\\ 0\le12 \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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