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Chapter 2: Q27. (page 98)

Graph each inequality.

27.y+x<3.

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+x<3.

The boundary line equaton is y+x=3.

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 0,0.

Substitute x=0,y=0in y+x<3:

y+x<30+0<3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<3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, 0<3results a true inequality, so, shade the region that contains the point 0,0.

Graphical representation of y+x<3:

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