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Chapter 11: Q. 34 (page 783)

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

2x+y≥02x+y≥2

Short Answer

Expert verified

The graph of the system of inequalities is

Step by step solution

01

Step 1. Graph of the inequality 2x+y≥0

The graph of the inequality can be plotted by plotting the line2x+y=0

Take any arbitrary point(2,0)

Since the inequality 2x+y≥0satisfies this point , therefore the shaded portion will consist of this point.

02

Step 2. Graph of the inequality 2x+y≥2

The graph of the inequality can be plotted by plotting the line 2x+y=2

Take any arbitrary point(0,0)

Since, the inequality 2x+y≥2does not satisfy this point. Thus, the shaded portion will not include this point.

03

Step 3. Final Graph

The intersection of the individual inequalities will give the graph of the given system of inequalities.

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Most popular questions from this chapter

Verify that the values of the variables listed are solutions of the system of equations.

4x-5z=65y-z=-17-x-6y+5z=24x=4,y=-3,z=2;4,-3,2

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

2x-2y+3z=64x-3y+2z=0-2x+3y-7z=1

(a) Graph the line : 3x+4y=12.

(b) What is the slope of a line parallel to this line?

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

2x-3y-z=03x+2y+2z=2x+5y+3z=2

In Problems, use the division algorithm to rewrite each improper fraction as the sum of a quotient and proper fraction. Find the partial fraction decomposition of the proper fraction. Finally, express the improper fraction as the sum of a quotient and the partial fraction decomposition.

x5+x4-x2+2x4-2x2+1
See all solutions

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