Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.4 - Inequalities - Problem Set 4.4: 5

Answer

False

Work Step by Step

(-$\frac{1}{2}$) ($\frac{4}{9}$) $\gt$ ($\frac{3}{5}$) (-$\frac{1}{3}$) To check whether this inequality is true or false, we simplify it. (-$\frac{1}{2}$) $\times$ ($\frac{4}{9}$) $\gt$ ($\frac{3}{5}$) $\times$ (-$\frac{1}{3}$) $\frac{-4}{18}$ $\gt$ $\frac{-3}{15}$ $\frac{-4}{18}$ $\gt$ $\frac{-1}{5}$ We need to make the denominators the same in order to simplify this inequality. $\frac{-20}{90}$ $\gt$ $\frac{-18}{90}$ We multiply both sides by -90, which reverses the inequality. 20 $\lt$ 18 Because 20 is not less than 18, this inequality is false.
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.