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Chapter 2: Q16. (page 98)

Graph each inequality.

16.x-5\ley

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 x-5\ley

The boundary line equaton is y=x-5

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

The equation y=x-5 is in slope intercept form with slope 1.

02

– Choose a test point and test the inequality.

Choose the test point as 0,0.

Substitute x=0,y=0in x-5\ley

x鈭�5鈮�y0鈭�5鈮�0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,0fory鈭�5鈮�0鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌涂谤耻别

03

– Conclusion

Since, -5鈮�0results a true inequality, so, shade the region that contains the point 0,0.

Graphical representation of

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