Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.2 Real Numbers and Their Properties - R.2 Exercises: 110

Answer

$x=(+),y=(+)$ or $x=(-),y=(+)$

Work Step by Step

The question asks what signs on values $x$ and $y$ would make the statement $x^{2}y>0$ true. We are given the fact that $x$ and $y$ are nonzero values. A positive $x$ value that is squared will give a positive $x$ value. Multiplying this by a positive $y$ value will give a positive product greater than $0$. A negative $x$ value that is squared will give a positive $x$ value (negative times negative is a positive). Multiplying this by a positive $y$ value will give a positive product greater than $0$.
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