Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.4 - Linear Inequalities and Problem Solving - Exercise Set - Page 85: 54

Answer

$\left( -\infty,\infty \right)$

Work Step by Step

Using the properties of inequality, the expression $ 8(x+3)\le 7(x+5)+x $ simplifies to \begin{array}{l} 8x+24\le 7x+35+x\\ 8x+24\le 8x+35\\ 8x-8x\le 35-24\\ 0\le 11 \text{ (TRUE)} .\end{array} Since the solution above ended with a TRUE statement, then the solution set is the set of all real numbers. In interval notation, the solution set is $ \left( -\infty,\infty \right) $.
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