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 455: 62

Answer

\[\left\{ \begin{align} & y>-1 \\ & x\ge -2 \\ \end{align} \right.\]

Work Step by Step

\[y>-1\] It is parallel to the x-axis. For any value of x, the value of y is constant, \[y=-1\] The line is dashed line, the value 1 is not included. So, the equation is \[y>-1\] \[x\ge -2\] It is parallel to the y-axis. For any value of y, the value of x is constant, \[x=-2\] The line is a solid line, the value 2 is included. So, the equation is \[x\ge -2\] The system of linear inequalities for the graph is \[\left\{ \begin{align} & y>-1 \\ & x\ge -2 \\ \end{align} \right.\]
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