Chapter 2: Q26. (page 98)

Graph each inequality.
$y > |4 x|$ .

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 $y > |4 x|$ .

The boundary line equaton is $y = |4 x|$ .

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

– Choose a test point and test the inequality.

Choose the test point as $(0, 1) .$

Substitute $x = 0, y = 1$ in $y > |4 x|$ :

$\begin{array}{l} y > |4 x| \\ 1 > |4 (0)| substitute0for x, 1 for y \\ 1 > 0 true \end{array}$

– Conclusion

Since, $1 > 0$ results a true inequality, so, shade the region that contains the point $(0, 1) .$

Graphical representation of $y > |4 x|$ :

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Graph each inequality.
$y > |4 x|$ .

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.y>4x.

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

Recommended explanations on Math Textbooks

Calculus

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Study anywhere. Anytime. Across all devices.

Graph each inequality.
$y > |4 x|$ .