Chapter 2: Q23. (page 98)

Graph each inequality.
23. $y > \frac{1}{3} x + 5$ .

Short Answer

Expert verified

The graph of the inequality is shown below:

Step by step solution

– Find the boundary line equation of the given equation.

Consider the inequality $y > \frac{1}{3} x + 5$ .

The boundary line equaton is $y = \frac{1}{3} x + 5$ .

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

The slope intercept form is $y = \frac{1}{3} x + 5$ with slope $\frac{1}{3} .$

– Choose a test point and test the inequality.

Choose the test point as $(0, 0) .$

Substitute $x = 0, y = 0$ in $y > \frac{1}{3} x + 5$ :

$\begin{array}{l} y > \frac{1}{3} x + 5 \\ 0 > \frac{1}{3} (0) + 5 substitute0for x, 0 for y \\ 0 > 5 false \end{array}$

– Conclusion

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

Graphical representation of $y > \frac{1}{3} x + 5$ :

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Graph each inequality.
23. $y > \frac{1}{3} x + 5$ .

Short Answer

Step by step solution

– Find the boundary line equation of the given equation.

– Choose a test point and test the inequality.

– Conclusion

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Graph each inequality.23.y>13x+5.

Short Answer

Step by step solution

– Find the boundary line equation of the given equation.

– Choose a test point and test the inequality.

– Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

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Graph each inequality.
23. $y > \frac{1}{3} x + 5$ .