Algebra 1

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

Chapter 3 - Solving Inequalities - 3-2 Solving Inequalities Using Addition or Subtraction - Practice and Problem-Solving Exercises - Page 174: 21

Answer

$\frac{1}{3}\lt f$
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Work Step by Step

$0\lt-\frac{1}{3}+f$ : add $\frac{1}{3}$ to both sides $0+\frac{1}{3}\lt -\frac{1}{3}+f+\frac{1}{3}$ : simplify $\frac{1}{3}\lt f$ Verify that $\frac{1}{3}$ is not a solution at the endpoint. $0\overset?\lt -\frac{1}{3}+\frac{1}{3}$ $0\ /\!\!\!\!\!\lt0\checkmark$ Verify that a number greater than $\frac{1}{3}$ is a solution. $0\overset?\lt -\frac{1}{3}+5$ $0\lt 4\frac{2}{3}\checkmark$
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