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Chapter 4: Q. 549 (page 558)

Graph the linear inequality.

y<-3x-4.

Short Answer

Expert verified

The graph for the linear inequalityy<-3x-4 is,

Step by step solution

01

Step 1. Given information

y<-3x-4.

We need to draw a graph for the given linear inequality.

02

Step 2. First draw the boundary line y=-3x-4.

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

03

Step 3. We need to test a point with 1,0.

Substitute x=1,y=0in the given inequality.

y<-3x-40<-31-40<-3-40<-7

which is not true.

Therefore, 1,0is not a solution to y<-3x-4.

So, we shade the side that does not include1,0.

04

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

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