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Q. 31

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.