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Chapter 11: Q. 17 (page 783)

Graph each inequality by hand.

x2+y2>1

Short Answer

Expert verified

The required graph is

Step by step solution

01

Step 1. Given Information  

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

02

Step 2. Plotting the graph  

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

The graph of the inequality x2+y2>1is a dashed circle as the inequality is strict. Since0,0 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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