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: 17



Work Step by Step

$3(k-5)+9k\geq-3$ $\longrightarrow$ multiply using the distributive property $3k-15+9k\geq-3$ $\longrightarrow$ combine like terms; add 15 to both sides $12k-15+15\geq-3+15$ $\longrightarrow$ simplify $12k\geq12$ $\longrightarrow$ divide both sides by 12 $12k\div12\geq12\div12$ $\longrightarrow$ simplify $k\geq1$ Check endpoint. $3(1-5)+9(1)=-3$ $3(-4)+9=-3$ $-12+9=-3$ $-3=-3\checkmark$ Check inequality. $3(5-5)+9(5)\geq-3$ $3(0)+45\geq-3$ $0+45\geq-3$ $45\geq-3\checkmark$
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