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: 53

Answer

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

Work Step by Step

Using the properties of inequality, the expression $ 4(x-1)\ge4x-8 $ simplifies to \begin{array}{l} 4x-4\ge4x-8\\ 4x-4x\ge-8+4\\ 0\ge-4 \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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