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Chapter 3: Q272. (page 312)

Graph the linear inequality:

y<-3x-4

Short Answer

Expert verified

The solution is

Step by step solution

01

Given data

The inequality is

y<-3x-4

02

Concept used

First, we draw the boundary line y=-3x-4.

It is in slope-intercept form with m=-3and b=-1.

Here the inequality is <.

So, we draw a dashed line as bellow,

03

Point test 

We can see that the point 0,0is not on boundary line.

To check 0,0is a solution of the inequality or not:

y<-3x-4

0<-3路0-4

0<0-4

0<-4

Which is not possible.

So,0,0is not a solution of the inequalityy<-3x-4.

04

Conclusion

Thus, we shade in the side of the boundary line that does not include the point 0,0.

The graph will be

All points in the shaded region, but not those on the boundary line, represent the solutions toy<-3x-4.

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Most popular questions from this chapter

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y=-3x+4

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