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Chapter 2: Q26. (page 98)

Graph each inequality.

y>4x.

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>4x.

The boundary line equaton is y=4x.

Here the inequality is >, graph the boundary line as a dashed line.

02

– Choose a test point and test the inequality.

Choose the test point as 0,1.

Substitute x=0,y=1in y>4x:

y>4x1>40鈥勨赌勨赌勨赌勨赌勨赌勨赌剆耻产蝉迟颈迟耻迟别0蹿辞谤x,1fory1>0鈥勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌则谤耻别

03

– Conclusion

Since, 1>0results a true inequality, so, shade the region that contains the point 0,1.

Graphical representation of y>4x:

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