Chapter 11: Q. 35 (page 783)

In Problems 35–42, graph each system of inequalities by hand.
$\{\begin{cases} x^{2} + y^{2} \leq 9 \\ x + y \geq 3 \end{cases}$

Short Answer

Expert verified

The graph of system of inequalities is

Step by step solution

Step 1. Graph of inequalityx2+y2≤9

The graph of the inequality $x^{2} + y^{2} \leq 9$ will be a circle.

Step 2. Graph of the inequalityx+y≥3

To plot the graph of the inequality $x + y \geq 3$ , plot the line $x + y = 3$

Since $(0, 0)$ does not satisfy the given inequality, therefore, it will not be included in the shaded region.

Step 3. Final Graph

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

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In Problems 35–42, graph each system of inequalities by hand.
$\{\begin{cases} x^{2} + y^{2} \leq 9 \\ x + y \geq 3 \end{cases}$

Short Answer

Step by step solution

Step 1. Graph of inequalityx2+y2≤9

Step 2. Graph of the inequalityx+y≥3

Step 3. Final Graph

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In Problems 35–42, graph each system of inequalities by hand.x2+y2≤9x+y≥3

Short Answer

Step by step solution

Step 1. Graph of inequalityx2+y2≤9

Step 2. Graph of the inequalityx+y≥3

Step 3. Final Graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Logic and Functions

Geometry

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Calculus

Study anywhere. Anytime. Across all devices.

In Problems 35–42, graph each system of inequalities by hand.
$\{\begin{cases} x^{2} + y^{2} \leq 9 \\ x + y \geq 3 \end{cases}$