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: 11

Answer

$y\gt-2$

Work Step by Step

$-5y-2\lt8$ $\longrightarrow$ add 2 to both sides $-5y-2+2\lt8+2$ $\longrightarrow$ simplify $-5y\lt10$ $\longrightarrow$ divide both sides by -5; reverse the inequaity sign $-5y\div-5\gt10\div-5$ $\longrightarrow$ simplify $y\gt-2$ check the inequality $-5(0)-2\lt8$ $0-2\lt8$ $-2\lt8\checkmark$
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