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 181: 13

Answer

$x\geq-3$

Work Step by Step

$-7\leq\frac{7}{3}x$ Multiply both sides by $\frac{3}{7}$. $-7\times\frac{3}{7}\leq\frac{7}{3}x\times\frac{3}{7}$ Simplify: $-\frac{3}{1}\leq x$ $-3\leq x$ Let's check: Let x=5 $-7\leq\frac{7}{3}(5)$ $-7\leq\frac{35}{3}$ The statement is true
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