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Chapter 11: Q. 19 (page 783)

Graph each inequality by hand.

y鈮�x2-1

Short Answer

Expert verified

The required graph is

Step by step solution

01

Step 1. Given Information  

We are given the inequality y鈮�x2-1and we need to graph it.

02

Step 2. Plotting the graph   

First, we plot the equation of the parabola y=x2-1.

The graph of the inequality y鈮�x2-1is a solid line and so is part of the graph of the inequality. Since 0,0does not satisfy the inequality, the graph consists of the portion away from the origin. The shaded portion represents the inequality. All the points on and outside the parabola satisfy the inequality. The graph 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.

x-y-z=1-x+2y-3z=-43x-2y-7z=0

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

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

Graph the equation:y2=x2-1

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

x - y + z = -4

2x - 3y + 4z = -15

5x + y - 2z = 12

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

x2+y2=8;x2+y2+4y=0
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