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Chapter 4: Q. 527 (page 558)

Graph the linear inequalityx-y鈮�-2.

Short Answer

Expert verified

The graph of linear inequality x-y鈮�-2is

Step by step solution

01

Step 1. Given Information

The given boundary line isx-y鈮�-2.

We have to graph the linear inequality.

02

Step 2. Graph the boundary line

First, we graph the boundary line. The inequality is 鈮�so we draw a solid line.

03

Step 3. Test the point 

To test a point. We鈥檒l use0,0 because it is easy to evaluate and it is not on the boundary line.

x-y鈮�-20-0鈮�-20鈮�-2

The point 0,0is a solution of x-y鈮�-2,so we shade in that side of the boundary line.

04

Step 4. Sketch the graph in the given linear inequality 

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Most popular questions from this chapter

Find the intercepts forx+2y=8

In the following exercises, plot each point in a rectangular coordinate system

(a) (-3,0)(b) (0,5)(c) (0,-2)(d) (2,0)(e)(0,0)

Which of the following ordered pairs are solutions to 2x+3y=6?

role="math" localid="1647176031218" (a)(3,0)(b)(2,0)(c)(6,-2)

In the following exercises, find three solutions to each linear equation.

4x鈭�y=8

Find the intercepts forx+2y=10
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