College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.7 - Page 196: 99


$\frac{-2}{3}\lt x\lt\frac{10}{3}$

Work Step by Step

Plug the given conditions into an inequality. Solve the first inequality by removing the absolute value sign and simplifying, and solve the second inequality by flipping the sign, making the right side negative, and then simplifying. $|3x-4|+2\lt8$ $|3x-4|\lt6$ $3x-4\lt6$ $x\lt\frac{10}{3}$ $3x-4\gt-6$ $3x\gt-2$ $x\gt\frac{-2}{3}$ $\frac{-2}{3}\lt x\lt\frac{10}{3}$
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