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Chapter 2: Q20. (page 98)

Graph each inequality.

y+1<4.

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+1<4.

The boundary line equaton is y+1=4鈬�y=3.

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

The graph of the equation y=3 is a horizontal line.

02

– Choose a test point and test the inequality.

Choose the test point as 0,0.

Substitute x=0,y=0in y+1<4:

y+1<40+1<4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,0fory1<4鈥勨赌勨赌勨赌勨赌勨赌勨赌则谤耻别

03

– Conclusion

Since, 1<4results a true inequality, so, shade the region that contains the point 0,0.

Graphical representation of y+1<4:

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