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Chapter 11: Q. 23 (page 796)

Graph the system of inequalities:

x2+y2鈮�1004x-3y鈮�0

Short Answer

Expert verified

The final graph is

Step by step solution

01

Step 1. Given information

A system of equation is given as

x2+y2鈮�1004x-3y鈮�0

02

Step 2. Plotting graph

First draw the circle x2+y2=100,

Substitute the values of xand yin the first inequality,

(0)2+(0)2鈮�1000<100

Therefore the graph is

03

Step 3. Graph for linear inequality

Now plot the graph of inequality ,

Substitute zero for xand y ,

So the graph of inequality is

04

Step 4. Final graph

By combining the both graphs of inequality, the final graph is

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Most popular questions from this chapter

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

2x+y鈮�02x+y鈮�2

Graph each inequality by hand.

y鈮�x2-1

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

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

x-y=3-3x+y=1x=-2,y=-5;-2,-5

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

x+y=8x-y=4
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