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Chapter 11: Q. 32 (page 783)

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

x-4y鈮�4x-4y鈮�0

Short Answer

Expert verified

The graph will be

Step by step solution

01

Step 1. Graph of the line x-4y≤4

To draw the graph of the given inequality, we will first draw the graph ofx-4y=4

Take any arbitrary point(0,0)

The given inequality satisfies the point, therefore the shaded region will contain the point(0,0)

02

Step 2. The graph of the inequality x-4y≥0

To graph the inequalityx-4y鈮�0, draw the graph of x-4y=0.

Take any arbitrary point(2,0)

The given inequality do satisfy the point.

Therefore, the shaded region will contain this point.

03

Step 3. Final graph

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

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Most popular questions from this chapter

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.

x4+x3-x+2x2-2x+1

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2+y2=8;x2+y2+4y=0

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2+y2=4;x2+2x+y2=0

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2=y;xy=1

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2+y2=4;y2-x=4
See all solutions

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