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Chapter 4: Q. 545 (page 558)

Graph the linear inequality.

x-y<-3.

Short Answer

Expert verified

The graph for the linear inequalityx-y<-3 is,

Step by step solution

01

Step 1. Given information

x-y<-3.

We need to draw a graph for the given inequality.

02

Step 2. First draw a boundary line x-y=-3.

Here, the inequality is, <.So, we should draw a dash line.

03

Step 3. We need to test the point with 0,0.

Substitute x=0,y=0in the given linear inequality.

x-y<-30-0<-30<-3

which is not true.

Therefore, 0,0is not a solution to x-y<-3.

So, we shade the side that does not include0,0.

04

Step 4. Now draw a graph for the given linear inequality.

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