Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.7 Inequalities - 1.7 Exercises - Page 159: 29

Answer

$\color{blue}{-5 \lt x \lt3}$

Work Step by Step

Subtract $5$ to each part: \begin{array}{ccccc} &-5-5 &\lt &5+2x-5 &\lt &11-5 \\&-10 &\lt &2x &\lt &6 \end{array} Divide each part by $2$: \begin{array}{ccccc} \\&\frac{-10}{2} &\lt &\frac{2x}{2} &\lt &\frac{6}{2} \\&-5 &\lt &x &\lt &3 \end{array} Thus, the solution to the given inequality is: $\color{blue}{-5 \lt x \lt3}$
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