Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.9 - The Coordinate Plane; Graphs of Equations; Circles - 1.9 Exercises - Page 104: 116

Answer

See the image below.

Work Step by Step

$x^2+y^2\gt4$ Looks a lot like a general equation of a circle, with origin $O(0,0)$ that is: $x^2+y^2=r^2$ Where $r$ stands for radius of the circle. The equation above, is an outside region of the circle with radius $2$. The $>$ sign means that the region given by the set covers outside region of the circle, excluding the circumference. (See the image above)
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