Chapter 2: Q25. (page 98)

Graph each inequality.
25. $y \leq |x|$ .

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 $y \leq |x|$ .

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

Here the inequality is $\leq$ , graph the boundary line as a solid line.

– Choose a test point and test the inequality.

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

Substitute $x = 0, y = 0$ in $y \leq |x|$ :

$\begin{array}{l} y \leq |x| \\ 0 \leq |0| substitute0for x, 0 for y \\ 0 \leq 0 true \end{array}$

– Conclusion

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

Graphical representation of $y \leq |x|$ :

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Graph each inequality.
25. $y \leq |x|$ .

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.25.y≤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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Probability and Statistics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Graph each inequality.
25. $y \leq |x|$ .