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: 112

Answer

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

Work Step by Step

We are asked to determine signs of $x$ and $y$ that would make the quotient of $\frac{x}{y}$ less than $0$. A positive $y$ value that is squared will give a positive product. Dividing this by a negative $x$ value will give a negative quotient value that is less than $0$. Likewise, a negative $y$ value that is squared will give a positive product (negative times negative is a positive). Dividing this by a negative $x$ value will give a negative quotient value that is less than $0$.
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