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Chapter 2: Q23. (page 98)

Graph each inequality.

23.y>13x+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 y>13x+5.

The boundary line equaton is y=13x+5.

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

The slope intercept form is y=13x+5with slope 13.

02

– Choose a test point and test the inequality.

Choose the test point as 0,0.

Substitute x=0,y=0in y>13x+5:

y>13x+50>130+5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,0fory0>5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勨赌勨赌勨赌勨赌刦补濒蝉别

03

– Conclusion

Since, 0>5results a false inequality, so, shade the region that does not contain the point 0,0.

Graphical representation of y>13x+5:

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