Algebra 1: Common Core (15th Edition)

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

Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Got It? - Page 188: 3



Work Step by Step

$15\leq5-2(4m+7)$ $15\leq5-8m-14$ Add 14 to each side $15+14\leq5-8m-14+14$ $29\leq5-8m$ Subtract 5 from both sides: $29-5\leq5-5-8m$ Simplfy: $24\leq-8m$ Divide both sides by -8 (reverse both sides): $\frac{24}{-8}\leq\frac{-8m}{-8}$ Simplify: $-3\geq m$ Let's check: let m=-6 $15≤5−2(4(-6)+7)$ $15\leq39$ Statement is true
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