Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.1 - Graphs and Graphing Utilities - Exercise Set: 71

Answer

The statement is false. A corrected statement is: "If the product of a point's coordinates is positive, the point must either be in Quadrant I or Quadrant III."

Work Step by Step

The statement is false. The product of two numbers is positive if they have the same signs. This means that the coordinates of a point such as $(-1, -1)$, which is in Quadrant III, also has a positive product. A corrected statement is: If the product of a point's coordinates is positive, the point must either be in Quadrant I or Quadrant III.
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