Chapter 11: Q. 37 (page 783)

In Problems 35–42, graph each system of inequalities by hand
$\{\begin{cases} y \geq x^{2} - 4 \\ y \leq x - 2 \end{cases}$

Short Answer

Expert verified

The graph of the system of inequalities is

Step by step solution

Step 1, Graph of the inequality y≥x2-4

To graph the inequality $y \geq x^{2} - 4$ , graph the equation $y = x^{2} - 4$

Since, $(0, 0)$ satisfies the given inequality $y \geq x^{2} - 4$ ,

therefore, it will be included in the shaded region.

Step 2. Graph of the inequality y≤x-2

The graph of the inequality $y \leq x - 2$ will be plotted by graphing the line $y = x - 2$

Since, $(0, 0)$ satisfies the given inequality, therefore it will be included in the shaded region.

Step 3. Final graph

The intersection of both the graphs will give the final graph.

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In Problems 35–42, graph each system of inequalities by hand
$\{\begin{cases} y \geq x^{2} - 4 \\ y \leq x - 2 \end{cases}$

Short Answer

Step by step solution

Step 1, Graph of the inequality y≥x2-4

Step 2. Graph of the inequality y≤x-2

Step 3. Final graph

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In Problems 35–42, graph each system of inequalities by handy≥x2-4y≤x-2

Short Answer

Step by step solution

Step 1, Graph of the inequality y≥x2-4

Step 2. Graph of the inequality y≤x-2

Step 3. Final graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Statistics

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

In Problems 35–42, graph each system of inequalities by hand
$\{\begin{cases} y \geq x^{2} - 4 \\ y \leq x - 2 \end{cases}$