College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.1 - The Coordinate Plane - 1.1 Exercises - Page 92: 16

Answer

The regions represented by the given set are Quadrants I and III.
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Work Step by Step

The product of the x and y coordinates of each point is greater than zero or positive. The product of $x$ and $y$ will be positive only when $x$ and $y$ have the same signs. Note that the x and y coordinates have the same signs in Quadrant I and Quadrant III. Thus, the regions given by the set are Quadrant I and Quadrant III.
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