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Chapter 3: Q264 (page 311)

Graph the linear inequality:

y鈮�2

Short Answer

Expert verified

The solution is

Step by step solution

01

Given information

The given inequality is

y鈮�2

02

Concept used 

First, we draw the boundary line y=2.

It is a horizontal line.

Here the inequality is 鈮�.

We draw the line as below,

03

Point test 

We test the point 0,0.

y鈮�2

but 0猹�2

So, 0,0is notsolution of the inequality.

Now, we test the point 0,2.

y鈮�2

Also 2=2

So, 0,2is a solution of the inequalityy鈮�2.

04

Conclusion

Thus, we shade the part that does not include the point 0,0.

So, the shaded part will be above the line y=2including the point0,2.

The required graph will be

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