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: 15

Answer

The regions represented by the given set are Quadrants II and IV.
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Work Step by Step

The product of the x and y coordinates of each point is less than zero or negative. This product of $x$ and $y$ will be negative only when $x$ and $y$ have opposite signs. Note that the x and y coordinates have opposite signs in Quadrant II and Quadrant IV. Thus, the regions given by the set are Quadrant II and Quadrant IV.
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