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 95: 61

Answer

$\left( -\infty,-3 \right]$

Work Step by Step

Solving the inequalities separately, then, \begin{array}{l} -x+5\gt6\\ -x\gt1\\ x\lt-1 ,\\\\\text{AND}\\\\ 1+2x\le-5\\ 2x\le-6\\ x\le-3 .\end{array} Using the conjunction "AND", the solution set is the set common to both inequalities. Hence, in interval notation form, the solution is $ \left( -\infty,-3 \right] $.
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