Intermediate Algebra (6th Edition)

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

Chapter 2 - Test - Page 114: 22

Answer

$\text{the interval } \left( -\infty,\infty \right) $

Work Step by Step

Using the properties of inequality, the solution to the given inequality, $ 6x+1\gt5x+4 \text{ or } 1-x\gt-4 ,$ is \begin{array}{l}\require{cancel} 6x+1\gt5x+4 \\\\ 6x-5x \gt 4-1 \\\\ x \gt 3 \\\\\text{ OR }\\\\ 1-x\gt-4 \\\\ -x\gt-4-1 \\\\ -x\gt-5 \\\\ x\lt5 .\end{array} Combining the two inequalities, in interval notation, the solution is $ \text{the interval } \left( -\infty,\infty \right) .$
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