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Expert-verified Found in: Page 783 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # In Problems 23–34, graph each system of linear inequalities by hand. Verify your results using a graphing utility $\left\{\begin{array}{l}2x+y\ge -2\\ 2x+y\ge 2\end{array}\right\$

The graph is See the step by step solution

## Step 1. Graph of the line 2x+y≥-2

The graph of the line $2x+y=-2$ will be drawn first.

Take any arbitrary point say, $\left(0,0\right)$.

The given equation satisfies the point.

Therefore, the shaded portion will contain the point $\left(0,0\right)$ ## Step 2. Graph of the line2x+y≥2

The graph of the line$2x+y=2$ will be drawn first.

Take any point say$\left(0,0\right)$

The given inequality $2x+y\ge 2$ does not satisfy the point.

Hence, it will not be included in the shaded region. ## Step 3. Final graph

The intersection of both the graphs of the lines will give the final graph.  ### Want to see more solutions like these? 