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: 50

Answer

$\left( -\infty,-17 \right] $

Work Step by Step

Using the properties of inequality, the expression $ 7(2x+3)+4x\le7+5(3x-4)+x $ simplifies to \begin{array}{l} 14x+21+4x\le7+15x-20+x \\ 18x+21\le-13+16x \\ 18x-16x\le-13-21 \\ 2x\le-34 \\ x\le-17 .\end{array} In interval notation, the solution set is $ \left( -\infty,-17 \right] $.
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