Chapter 11: Q. 17 (page 783)

Graph each inequality by hand.
$x^{2} + y^{2} > 1$

Short Answer

Expert verified

The required graph is

Step by step solution

Step 1. Given Information

We are given the inequality $x^{2} + y^{2} > 1$ and we need to graph it.

Step 2. Plotting the graph

First, we plot the equation of the circle $x^{2} + y^{2} = 1$ with center $(0, 0)$ and radius $1$ .

The graph of the inequality $x^{2} + y^{2} > 1$ is a dashed circle as the inequality is strict. Since $(0, 0)$ does not satisfy the inequality, the graph consists of the portion away from the origin. The shaded portion represents the inequality. All the points outside the circle satisfy the inequality. The graph is

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Graph each inequality by hand.
$x^{2} + y^{2} > 1$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Plotting the graph

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Graph each inequality by hand.x2+y2>1

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Plotting the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

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Study anywhere. Anytime. Across all devices.

Graph each inequality by hand.
$x^{2} + y^{2} > 1$