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Chapter 2: Q17. (page 98)

Graph each inequality.

y鈮�-4x+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鈮�-4x+3

The boundary line equation is y=-4x+3

Here the inequality is localid="1647309215992" 鈮�graph the boundary line as a solid line.

The equation y=-4x+3is in slope-intercept form with slope -4.

02

– Choose a test point and test the inequality.

Choose the test point as 0,0.

Substitute x=0,y=0in localid="1647309231276" y鈮�-4x+3

y鈮�鈭�4x+30鈮�鈭�4(0)+3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,0fory0鈮�3鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌塮补濒蝉别

03

– Conclusion

Since, 0鈮�3results a false inequality, so, shade the region that does not contain the point 0,0.

Graphical representation of localid="1647309243093" y鈮�-4x+3

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