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: 9

Answer

$f\leq3$

Work Step by Step

$5f+7\leq22$ $\longrightarrow$ subtract 7 from both sides $5f+7-7\leq22-7$ $\longrightarrow$ simplify $5f\leq15$ $\longrightarrow$ divide both sides by 5 $5f\div5\leq15\div5$ $\longrightarrow$ simplify $f\leq3$ Check the endpoint $5(3)+7=22$ $15+7=22$ $22=22\checkmark$ Check the inequality. $5(1)+7\lt22$ $5+7\lt22$ $12\lt22\checkmark$
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