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Chapter 11: Q. 39 (page 783)

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

x2+y2鈮�16y鈮�x2-4

Short Answer

Expert verified

The graph of the system of inequalities is

Step by step solution

01

Step 1. Graph of the inequality x2 + y2 ≤ 16

The graph of the inequality x2+y2鈮�16can be plotted by graphing

Since the point (0,0)satisfies the inequality,

therefore, it will be included in the shaded region.

02

Step 2. Graph of the inequality 

The graph of the inequality y鈮�x2-4can be plotted by graphing

Since the point (0,0)satisfies the inequality,

therefore, it will be included in the shaded region.

03

Step 3. Final graph 

The intersection of both the graphs of the inequalities gives the final graph.

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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.
3x=24x+2y=0

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

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

y=x;y=6-x

Solve the equation:

3x+4=8-x

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

2x+y=4-2y+4z=03x-2z=-11
See all solutions

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