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Chapter 2: Q15. (page 98)

Graph each inequality.

y>6x-2

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>6x-2

The boundary line equaton is y=6x-2

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

The equation y=6x-2 is in slope intercept form with slope 6.

02

– Choose a test point and test the inequality.

Choose the test point as 0,0.

Substitute x=0,y=0in y>6x-2

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03

– Conclusion

Since, 0>-2results a true inequality, so, shade the region that contains the point 0,0.

Graphical representation of y>6x-2

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