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Chapter 11: Q. 35 (page 783)

In Problems 35鈥�42, graph each system of inequalities by hand.

x2+y2鈮�9x+y鈮�3

Short Answer

Expert verified

The graph of system of inequalities is

Step by step solution

01

Step 1. Graph of inequalityx2+y2≤9

The graph of the inequality x2+y2鈮�9will be a circle.

02

Step 2. Graph of the inequalityx+y≥3

To plot the graph of the inequalityx+y鈮�3, plot the linex+y=3

Since (0,0)does not satisfy the given inequality, therefore, it will not be included in the shaded region.

03

Step 3. Final Graph

The final graph will be the intersection of both the graphs.

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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.

x5+x4-x2+2x4-2x2+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;y=x2-9

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

x+4y鈮�8x+4y鈮�4

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

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

x + y - z = 6

3x - 2y + z = -5

x + 3y - 2z = 14
See all solutions

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