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Chapter 11: Q. 31 (page 783)

In Problems 23–34, graph each system of linear inequalities by hand. Verify your results using a graphing utility

2x+y≥-22x+y≥2

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Graph of the line 2x+y≥-2

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

Take any arbitrary point say, (0,0).

The given equation satisfies the point.

Therefore, the shaded portion will contain the point(0,0)

02

Step 2. Graph of the line2x+y≥2

The graph of the line2x+y=2will be drawn first.

Take any point say(0,0)

The given inequality 2x+y≥2does not satisfy the point.

Hence, it will not be included in the shaded region.

03

Step 3. Final graph

The intersection of both the graphs of the lines will give the final graph.

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Most popular questions from this chapter

Solve each system of equations. If the system has no solution, say that it is inconsistent.

2x+y-3z=0-2x+2y+z=-73x-4y-3z=7

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