Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - Get Ready!: 30

Answer

$-24$ $\leq$ $f$ $\leq$ $18$
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Work Step by Step

$-\frac{1}{3}|f+3|+2$ $\geq$ $-5$ Subtract $2$ from each side $-\frac{1}{3}|f+3|$ $\geq$ $-7$ Multiply each side by -3 $|f+3|$ $\leq$ $21$ Rewrite as a compound inequality $f+3$ $\leq$ $21$ or $f+3$ $\geq$ $-21$ Subtract $3$ $f$ $\leq$ $18$ or $f$ $\geq$ $-24$ $-24$ $\leq$ $f$ $\leq$ $18$
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