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: 13

Answer

$3.5\leq r$

Work Step by Step

$9\leq-12+6r$ $\longrightarrow$ add 12 to both sides $9+12\leq-12+6r+12$ $\longrightarrow$ simplify $21\leq6r$ $\longrightarrow$ divide both sides by 6 $21\div6\leq6r\div6$ $\longrightarrow$ simplify $3.5\leq r$ Check the endpoint. $9=-12+6(3.5)$ $9=-12+21$ $9=9\checkmark$ Check the inequality. $9\leq-12+6(4)$ $9\leq-12+24$ $9\leq12\checkmark$
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