Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Mixed Review Exercises: 12


$\left( -\infty,1 \right]$

Work Step by Step

Using the properties of inequality, the given inequality, $ -0.3x+2.1(x-4)\le-6.6 ,$ simplifies to \begin{array}{l}\require{cancel} 10\left[ -0.3x+2.1(x-4) \right]\le(-6.6)10 \\\\ -3x+21(x-4)\le-66 \\\\ -3x+21x-84\le-66 \\\\ -3x+21x\le-66+84 \\\\ 18x\le18 \\\\ x\le\dfrac{18}{18} \\\\ x\le1 .\end{array} Hence, the solution is the interval $ \left( -\infty,1 \right] .$
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