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Chapter 4: Q. 530 (page 558)

Graph the linear inequality3x+2y鈮�-6.

Short Answer

Expert verified

The graph of the linear inequality 3x+2y鈮�-6is

Step by step solution

01

Step 1. Given Information

The given boundary line is3x+2y鈮�-6.

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.

3x+2y鈮�-630+20鈮�-60鈮�-6

The point 0,0is a solution of 3x+2y鈮�-6,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 for2x+3y=6

In the following exercises, complete the table to find the solutions to each linear equation :

y=3x-1

xy(x,y)
0

2

-1

In the following exercises, which order pair are solution to the given equation :

3x-2y=12

(a)(4,0)(b)(2,-3)(c)(1,6)

Complete the table to find three solutions to this equation:

In the following exercises, which ordered pairs are solutions to the given equations :

y=12x-1

(a) 2,0(b)-6,-4(c)-4,-1
See all solutions

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