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.

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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.