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Chapter 11: Q. 45 (page 794)

In Problems 44 and 45, graph each inequality by hand. Verify your results using a graphing utility.

y鈮�x2

Short Answer

Expert verified

The graph of y鈮�x2is

Step by step solution

01

Step 1. Given data 

The given inequality is

y鈮�x2

02

Step 2. Properties of the graph of the inequality

Graph of y=x2will be a line

now test a point (3,4)for inequality

y鈮�x24鈮�324鈮�9

inequality satisfied so the point will lie in the region of inequality

So shade the region from parabola toward point (3,4)

03

Step 3. graph of the inequality  

Plot a parabola y=x2of a solid line and shade the region outside the parabola to plot the graph ofy鈮�x2

04

Step 4. Verification

Plot the graph of y鈮�x2using a graphing utility


Graph matches with our graph so our graph is correct.

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Most popular questions from this chapter

Graph each inequality by hand.

3x+2y鈮�6

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

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Graph each inequality by hand.

y鈮�2

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x+3y=52x-3y=-8

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

2x-y=04x+2y=12
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