Chapter 2: Q28. (page 98)

Graph each inequality.
$y \geq |x - 1| - 2$ .

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 $y \geq |x - 1| - 2$ .

The boundary line equaton is $y = |x - 1| - 2$ .

Here the inequality is $\geq$ , 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 $y \geq |x - 1| - 2$ :

$\begin{array}{l} y \geq |x - 1| - 2 \\ 0 \geq |0 - 1| - 2 substitute0for x, 0 for y \\ 0 \geq |- 1| - 2 \\ 0 \geq 1 - 2 \\ 0 \geq - 1 true \end{array}$

– Conclusion

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

Graphical representation of $y \geq |x - 1| - 2$ :

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Graph each inequality.
$y \geq |x - 1| - 2$ .

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≥x-1-2.

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

Decision Maths

Discrete Mathematics

Probability and Statistics

Geometry

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Mechanics Maths

Study anywhere. Anytime. Across all devices.

Graph each inequality.
$y \geq |x - 1| - 2$ .