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Chapter 11: Q. 50 (page 794)

In Problems 49 and 50, graph each system of inequalities by hand.

x2+y2鈮�25xy鈮�4

Short Answer

Expert verified

The graph ofx2+y2鈮�25xy鈮�4is

Step by step solution

01

Step 1. Given data 

The given system of inequality is

x2+y2鈮�25xy鈮�4

02

Step 2. Properties of the graph of the inequality    

Graph ofx2+y2鈮�25 will be a circle of center(0,0)

now test the origin point (0,0)for inequalityx2+y2鈮�25

x2+y2鈮�2502+02鈮�250<25

inequality satisfied so the origin will lie in the region of inequality

So the region inside the circle will be shaded

03

Step 3. Properties of the graph of the inequality    

Test the point (0,0)for inequality xy鈮�4

xy鈮�40脳0鈮�40<4

inequality satisfied so the origin will lie in the region of inequalityxy鈮�4

So the region toward origin from the graph ofrole="math" localid="1646962893657" xy=4 will be shaded

04

Step 4. graph of the system of inequality   

Graph of the system of inequality is

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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=14x+2y=3

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

x2+y2=10;y=x+2

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

5x-y=212x+3y=-12

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

x-y-z=12x+3y+z=23x+2y=0

If a system of equations has no solution, it is said to be _______.
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