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Chapter 11: Q. 36 (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 is

Step by step solution

01

Step 1. Graph of the inequality x2+y2≥9

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

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

02

Step 2. Graph of x+y≤3

First, plot the linex+y=3

Now, the point(0,0)satisfies the inequality x+y鈮�3,

therefore, it will be included in the shaded region.

03

Step 3. Final graph

The final graph will be the intersection of the two graphs,

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Most popular questions from this chapter

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

xy=1;y=2x+1

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

3x+3y=-14x+y=83

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

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

The length of fence required to enclose a rectangular field is 3000 meters. What are the dimensions of the field if it is known that the difference between its length and width is 50 meters?

Graph each inequality by hand.

y鈮�2
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