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Chapter 2: Q13. (page 98)

Graph each inequality.

x+y>-5.

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+y>-5.

The boundary line equaton is x+y=-5.

Here the inequality is localid="1647309505263" >, graph the boundary line as a dashed line.

x+y=鈭�5y=鈭�x鈭�5

Find the slope intercept of x+y=-5:

So, the slope intercept form is y=-x-5.

02

– Choose a test point and test the inequality.

Choose the test point as 0,0.

Substitute x=0,y=0in x+y>-5:

x+y>鈭�50+0>鈭�5鈥夆赌夆赌夆赌塻耻产蝉迟颈迟耻迟别0蹿辞谤x,0fory0>鈭�5鈥夆赌夆赌夆赌涂谤耻别

03

– Conclusion

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

Graphical representation of

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