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 86: 64

Answer

$\left[ \dfrac{29}{6},\infty \right)$

Work Step by Step

Using the properties of inequality, the expression $ \dfrac{3-4x}{6}-\dfrac{1-2x}{12}\le-2 $ simplifies to \begin{array}{l} 12\left( \dfrac{3-4x}{6}-\dfrac{1-2x}{12} \right) \le \left( -2 \right)12\\\\ 2(3-4x)-1(1-2x)\le-24\\ 6-8x-1+2x\le-24\\ -6x+5\le-24\\ -6x\le-29\\ x\ge\dfrac{29}{6} .\end{array} In interval notation, the solution set is $ \left[ \dfrac{29}{6},\infty \right) $.
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