Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 2 - Section 2.7 - Linear Inequalities and Problem Solving - Exercise Set - Page 172: 55

Answer

$x\gt\frac{8}{3}$

Work Step by Step

$\frac{1}{4}(x+4)\lt\frac{1}{5}(2x+3)$ $\frac{x}{4}+1\lt\frac{2x}{5}+\frac{3}{5}$ $\frac{x}{4}-\frac{2x}{5}+1-1\lt\frac{2x}{5}-\frac{2x}{5}+\frac{3}{5}-1$ $-\frac{3x}{20}\lt-\frac{2}{5}$ $x\gt\frac{8}{3}$
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