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Chapter 4: Q. 4.139 (page 548)

Write the inequality shown by the graph with the boundary line y=鈭�2x+3

Short Answer

Expert verified

The inequality shown by the graph is y鈮�-2x+3.

Step by step solution

01

Step 1. Given Information  

We are given an equationy=鈭�2x+3and a graph,

02

Step 2. Finding the inequality

The line y=鈭�2x+3is the boundary line. On one side of the line are the points with y>鈭�2x+3and on the other side of the line are the points with y<鈭�2x+3.

Checking the inequality with point (0,0),

y>鈭�2x+30>-2(0)+30>3

False.

y<鈭�2x+30<-2(0)+30<3

True,

Since y>-2x+3is false for (0,0)which is not the part of shaded region, hence tshaded region is the solution for the inequality y>-2x+3

Also, the boundary line is graphed with a solid line.

Hence the inequality includes the equal sign.

y鈮�-2x+3

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