Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-3 Solving Inequalities Using Multiplication or Division - Practice and Problem-Solving Exercises - Page 181: 10


$-\frac{4}{5}\geq y$

Work Step by Step

Multiply both sides by $-\frac{4}{5}$; switch the inequality sign. $1\leq-\frac{5}{4}y$ $1\times-\frac{4}{5}\geq-\frac{5}{4}y\times-\frac{4}{5}$ $-\frac{4}{5}\geq y$ Check that $-\frac{4}{5}$ is a solution at the limit. $1=-\frac{5}{4}(-\frac{4}{5})$ $1=1\checkmark$ Check that a number less than $-\frac{4}{5}$ is a solution. $1\leq-\frac{5}{4}\times-1$ $1\leq\frac{5}{4}\checkmark$
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