Intermediate Algebra (12th Edition)

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

Chapter 1 - Section 1.5 - Linear Inequalities in One Variable - 1.5 Exercises: 17

Answer

$(-\infty,4]$
1512736194

Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given inequality, $ -1.3x\ge-5.2 ,$ use the properties of inequality. For the interval notation, use a parenthesis for the symbols $\lt$ or $\gt.$ Use a bracket for the symbols $\le$ or $\ge.$ For graphing inequalities, use a hollowed dot for the symbols $\lt$ or $\gt.$ Use a solid dot for the symbols $\le$ or $\ge.$ $\bf{\text{Solution Details:}}$ Dividing both sides by a negative number (and consequently reversing the sign), the inequality above is equivalent to \begin{array}{l}\require{cancel} x\le\dfrac{-5.2}{-1.3} \\\\ x\le4 .\end{array} The red graph is the graph of the solution set. In interval notation, the solution set is $ (-\infty,4] .$
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