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 - Chapter 7 Test - Page 484: 17

Answer

See below:

Work Step by Step

Step I: In the given above expression, replace inequality with equality and draw it:\[\] \[\begin{align} & y=\frac{1}{2}x-1 \\ & 2y=x-2 \\ & x-2y=2 \end{align}\] From the above equation: \[x-\text{intercept}=2\] \[y-\text{intercept}=-1\] Step II: Put\[x=0,\text{ and }y=0\], in the inequality equation. \[0\le -1\]; it is not true. Therefore, the region will be away from the origin. Graph includes the line \[y=\frac{1}{2}x-1\]
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