Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.2 Rational Numbers as Exponents - 10.2 Exercise Set: 106

Answer

$y\lt\dfrac{6}{5}$

Work Step by Step

Using the properties of inequality, then \begin{array}{l}\require{cancel} 10-5y\gt4 \\\\ -5y\gt4-10 \\\\ -5y\gt-6 .\end{array} Dividing both sides by a negative number (and consequently reversing the inequality symbol), then \begin{array}{l}\require{cancel} -5y\gt-6 \\\\ y\lt\dfrac{-6}{-5} \\\\ y\lt\dfrac{6}{5} .\end{array}
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