Chapter 11: Q. 36 (page 783)

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

Short Answer

Expert verified

The graph is

Step by step solution

Step 1. Graph of the inequality x2+y2≥9

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

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

Step 2. Graph of x+y≤3

First, plot the line $x + y = 3$

Now, the point $(0, 0)$ satisfies the inequality $x + y \leq 3$ ,

therefore, it will be included in the shaded region.

Step 3. Final graph

The final graph will be the intersection of the two graphs,

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

Short Answer

Step by step solution

Step 1. Graph of the inequality x2+y2≥9

Step 2. Graph of x+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 the inequality x2+y2≥9

Step 2. Graph of x+y≤3

Step 3. Final graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Calculus

Geometry

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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