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: 19

Answer

$j\lt-1$

Work Step by Step

$-3(j+3)+9j\lt-15$ $\longrightarrow$ multiply using the distributive property $-3j-9+9j\lt-15$ $\longrightarrow$ combine like terms $6j-9\lt-15$ $\longrightarrow$ add 9 to both sides $6j-9+9\lt-15+9$ $\longrightarrow$ simplify $6j\lt-6$ $\longrightarrow$ divide both sides by 6 $6j\div6\lt-6\div6$ $\longrightarrow$ simplify $j\lt-1$ Check the inequality. $-3(-2+3)+9(-2)\lt-15$ $-3(1)-18\lt-15$ $-3-18\lt-15$ $-21\lt-15\checkmark$
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