Intermediate Algebra (6th Edition)

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

Chapter 3 - Review - Page 197: 115

Answer

see graph
1500768163

Work Step by Step

Changing the given inequality, $ 3y\ge x ,$ to equality and then isolating $y$ result to \begin{array}{l}\require{cancel} 3y=x \\\\ y=\dfrac{1}{3}x .\end{array} Use the table of values below to graph this line. Since the inequality used is "$ \ge $", use a solid line. Using the test point $( 0,2 )$, then \begin{array}{l}\require{cancel} 3(2)\ge 0 \\\\ 6\ge 0 \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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