Algebra 1

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

Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Practice and Problem-Solving Exercises: 36

Answer

$s\leq-2$

Work Step by Step

$3s+6\leq-5(s+2)\longrightarrow$ multiply using the distributive property $3s+6\leq-5s-10\longrightarrow$ add 5s to each side $3s+6+5s\leq-5s-10+5s\longrightarrow$ add $8s+6\leq-10\longrightarrow$ subtract 6 from each side $8s+6-6\leq-10-6\longrightarrow$ subtract $8s\leq-16\longrightarrow$ divide both sides by 8 $8s\div8\leq-16\div8\longrightarrow$ divide $s\leq-2$
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