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 - Page 190: 14

Answer

$-1.5\leq j$

Work Step by Step

$6\leq12+4j$ $\longrightarrow$ subtract 12 from both sides $6-12\leq12+4j-12$ $\longrightarrow$ simplify $-6\leq4j$ $\longrightarrow$ divide both sides by 4 $-6\div4\leq4j\div4$ $\longrightarrow$ simplify $-1.5\leq j$ Check the endpoint. $6=12+4(-1.5)$ $6=12-6$ $6=6\checkmark$ Check the inequality. $6\lt12+4(0)$ $6\lt12+4(0)$ $6\lt12\checkmark$
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