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Expert-verified Found in: Page 783 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # Graph each inequality by hand. ${x}^{2}+{y}^{2}>1$

The required graph is See the 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 $\left(0,0\right)$ and radius $1$.

The graph of the inequality ${x}^{2}+{y}^{2}>1$ is a dashed circle as the inequality is strict. Since $\left(0,0\right)$ 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  ### Want to see more solutions like these? 