Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Practice and Problem-Solving Exercises - Page 205: 33


$(-\infty,-5)$ or $[5,\infty)$

Work Step by Step

$f+14\lt9\longrightarrow$ subtract 14 from each side $f+14-14\lt9-14\longrightarrow$ subtract $f\lt-5$ OR $-9f\leq-45\longrightarrow$ divide each side by -9; reverse the equality sign $-9f\div-9\geq-45\div-9\longrightarrow$ divide $f\geq5$ A parenthesis indicates that -5 is not included in the solution set, while a square bracket indicates that 5 is included in the solution set.
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