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Chapter 11: Q. 37 (page 783)

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

y鈮�x2-4y鈮�x-2

Short Answer

Expert verified

The graph of the system of inequalities is

Step by step solution

01

Step 1, Graph of the inequality y≥x2-4

To graph the inequalityy鈮�x2-4, graph the equationy=x2-4

Since,(0,0)satisfies the given inequalityy鈮�x2-4,

therefore, it will be included in the shaded region.

02

Step 2. Graph of the inequality y≤x-2

The graph of the inequality y鈮�x-2will be plotted by graphing the liney=x-2

Since,(0,0)satisfies the given inequality, therefore it will be included in the shaded region.

03

Step 3. Final graph

The intersection of both the graphs will give 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.

2x+4y=233x-5y=-1

The ratio of a to b is 4:3. The sum of a and b is 14. What is the ratio of a-b to a+b?

The perimeter of a rectangular floor is 90 feet. Find the

dimensions of the floor if the length is twice the width.

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

x + 4y - 3z = -8

3x - y + 3z = 12

x + y + 6z = 1

Graph the equation:y2=x2-1
See all solutions

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