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Chapter 4: Q. 532 (page 558)

Graph the linear inequalityy>4x.

Short Answer

Expert verified

The graph of the linear inequality y>4xis

Step by step solution

01

Step 1. Given Information 

The given boundary line isy>4x.

We have to graph the linear inequality.

02

Step 2. Graph the boundary line 

First, we graph the boundary line. It is in slope-intercept form, withm=4andb=0. The inequality is >so we draw a dashed line.

03

Step 3. Test the point  

To test a point. We鈥檒l use the point1,0because it is not on the boundary line.

y>4x0>4(1)0>4

The point 1,0is not a solution of y>4x,so we shade in opposite 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

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located: 鈸� (鈭�4,1)鈸� (鈭�2,3)鈸� (2,鈭�5)鈸� (鈭�2,5) 鈸�(-3,52)

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

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

鈸� (鈭�2,鈭�3)鈸� (3,鈭�3)鈸� (鈭�4,1)鈸� (4,鈭�1)鈸�(32,1)

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

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

y=4x+3

(a) (4,3)(b)(-1,-1)(c)12,5
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