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 R - Elementary Algebra Review - R.2 Equations, Inequalities, and Problem Solving - R.2 Exercise Set: 50

Answer

$\left\{ b|b\gt -1 \right\} \text{ or } \left( -1,\infty \right) $

Work Step by Step

Using the properties of inequality, the given inequality, $ 4b+7\gt2-b ,$ is equivalent to \begin{array}{l}\require{cancel} 4b+b\gt2-7 \\\\ 5b\gt-5 \\\\ b\gt-\dfrac{5}{5} \\\\ b\gt-1 .\end{array} Hence, the solution is $ \left\{ b|b\gt -1 \right\} \text{ or } \left( -1,\infty \right) .$
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