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Chapter 4: Q. 529 (page 558)

Graph the linear inequalityx+5y<-5.

Short Answer

Expert verified

The graph of linear inequality x+5y<-5is

Step by step solution

01

Step 1. Given Information

The given boundary line isx+5y<-5.

We have to graph the linear inequality.

02

Step 2. Graph the boundary line

First, we graph the boundary line. The inequality is <so we draw a dashed 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+5y<-50+50<-50<-5

The point 0,0is not a solution of x+5y<-5,so we shade on the opposite side of the boundary line.

04

Step 4. Sketch the graph in the given linear inequality 

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