Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-3 Solving Inequalities Using Multiplication or Division - Practice and Problem-Solving Exercises - Page 183: 60



Work Step by Step

Given: $x\lt\frac{1}{3}$ Because you need to divide your new inequality by a negative number, you need to multiply the given inequality by a negative number. Remember that when you multiply a negative number, the sign must switch.) $-3\times x\lt\frac{1}{3}\times-3$ (Simplify) $-3x\gt-1$ (To check your answer, divide each side by -3) $\frac{-3x}{-3}\gt\frac{-1}{-3}$ (Simplify) $x\lt\frac{1}{3}$
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