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Q. 17

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Precalculus Enhanced with Graphing Utilities
Found in: Page 783
Precalculus Enhanced with Graphing Utilities

Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

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Short Answer

Graph each inequality by hand.

x2+y2>1

The required graph is

See the step by step solution

Step by Step Solution

Step 1. Given Information  

We are given the inequality x2+y2>1 and we need to graph it.

Step 2. Plotting the graph  

First, we plot the equation of the circle x2+y2=1 with center 0,0 and radius 1.

The graph of the inequality x2+y2>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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