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: 20


$2\leq y$

Work Step by Step

$-4\leq4(6y-12)-2y$ $\longrightarrow$ multiply using the distributive property $-4\leq24y-48-2y$ $\longrightarrow$ combine like terms $-4\leq22y-48$ $\longrightarrow$ add 48 to both sides $-4+48\leq22y-48+48$ $\longrightarrow$ simplify $44\leq22y$ $\longrightarrow$ divide both sides by 22 $44\div22\leq22y\div22$ $\longrightarrow$ simplify $2\leq y$ Check the endpoint. $-4=4(6(2)-12)-2(2)$ $-4=4(12-12)-4$ $-4=4(0)-4$ $-4=-4\checkmark$ Check the inequality. $-4\lt(6(4)-12)-2(4)$ $-4\lt(24-12)-8$ $-4\lt12-8$ $-4\lt4\checkmark$
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