Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.4 Linear Inequalities in One Variable - Exercise Set 6.4 - Page 384: 68


\[x\le \frac{7-9y}{6}\]

Work Step by Step

Given is an inequality \[Ax+By\le C;A>0\] where \[A,B,C\] are constants. An equivalent inequality can be found by substituting any values for \[A,B,C\], which also fulfills the condition\[A>0\]. An equivalent inequality can be written as follows: \[6x+9y\le 7\] This inequality is restructured with \[x\] isolated on left side as: \[x\le \frac{7-9y}{6}\]
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