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Chapter 2: Q19. (page 98)

Graph each inequality.

y猢�1

Short Answer

Expert verified

The graph of the inequality is shown below:

Step by step solution

01

– Find the boundary line equation of the given equation.

Consider the inequality y猢�1

The boundary line equaton is y=1

Here the inequality is 鈮�, graph the boundary line as a solid line.

The graph of the equation y=1is a horizontal line.

02

– Choose a test point and test the inequality.

Choose the test point as

0,0.

Substitute x=0,y=0in localid="1647591419873" y猢�1

y鈮�10鈮�1鈥夆赌夆赌夆赌夆赌夆赌夆赌塻耻产蝉迟颈迟耻迟别0蹿辞谤x,0fory0鈮�1鈥夆赌夆赌夆赌夆赌夆赌夆赌塮补濒蝉别

03

– Conclusion

Since, 0鈮�1results a false inequality, so, shade the region that does not contain the point 0,0.

Graphical representation of localid="1647591434847" y猢�1

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