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Q. 17

Expert-verifiedFound in: Page 783

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

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

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

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