Algebra 1

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

Chapter 3 - Solving Inequalities - 3-5 Working with Sets - Practice and Problem-Solving Exercises: 15

Answer

$\{m\ |\ m\gt-5\}$

Work Step by Step

Solve the inequality. $13-9m\lt58\longrightarrow$ subtract 13 from each side $13-9m-13\lt58-13\longrightarrow$ subtract $-9m\lt45\longrightarrow$ divide each side by -9; reverse the inequality sign $-9m\div-9\gt45\div-9\longrightarrow$ divide $m\gt-5$ The solution is written in the criteria area of the set-builder notation.
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