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Chapter 3: Q270. (page 312)

Graph the linear inequality:

y鈮�54x

Short Answer

Expert verified

The solution is

Step by step solution

01

Given data

The inequality is

y鈮�54x

02

Concept used

First, we draw the boundary line y=54x.

It is in slope鈥搃ntercept form y=mx+b.

Where m=54and b=0

Here the inequality is 鈮�.

So, we draw a solid line as below,

03

Point test

We can see that the point 1,0is not on the boundary line.

To check 1,0is solution of the inequality or not:

y鈮�54x

0鈮�54路1

0鈮�54

So,1,0is a solution of the inequalityy鈮�54x.

04

Conclusion

Thus, we shade in the side of the boundary line that includes the point 1,0.

The graph will be

All points in the shaded region and on the boundary line represent the solutions to y鈮�54x.

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