Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.5 - Compound Inequalities - Exercise Set - Page 94: 20


$\left[ 2,\infty \right)$

Work Step by Step

Solving the inequalities separately, then, \begin{array}{l} x+2\ge3\\ x\ge1 ,\\\\\text{and}\\\\ 5x-1\ge9\\ 5x\ge10\\ x\ge2 .\end{array} Using the conjunction "and", then the solution set is the set common to both inequalities. Hence, the solution set is $ \left[ 2,\infty \right) $.
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