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Chapter 3: Q269. (page 312)

Graph the linear inequality:

y鈮�32x

Short Answer

Expert verified

The Solution is

Step by step solution

01

Given data

The inequality is

y鈮�32x

02

Concept used

First, we draw the boundary line y=32x.

It is in slope鈥搃ntercept form role="math" localid="1644460072706" y=mx+b.

Wherem=32andb=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 a solution of the inequality or not:

y鈮�32x

0鈮�32路1

0鈮�32

Which is not possible.

So,1,0is not a solution of the inequalityy鈮�32x.

04

Conclusion

Thus, we shade in the side of the boundary line that does not include the point 1,0.

The graph will be

All points in the shaded region and on the boundary line represent the solutions toy鈮�32x.

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