Thinking Mathematically (6th Edition)

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

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.4 Linear Inequalities in Two Variables - Exercise Set 7.4 - Page 456: 67

Answer

Infinitely many solutions

Work Step by Step

Using the test point \[\left( 0,0 \right)\] for each inequality. \[6x-y\le 24\], includes origin and solid line \[6x-y=24\]. \[6x-y\ge 24\], doesn’t include origin and includes solid line \[6x-y=24\]. The line \[6x-y=24\] is included in both inequalities. So, there are infinitely many solutions for the system.
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