Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 4 - Section 4.2 - Compound Inequalities - Exercise Set - Page 273: 57

Answer

$x \lt 0 $ or $x \gt 6$

Work Step by Step

Let us consider the both inequalities. $3x-1 \lt -1$ This can also be written as: $3x\lt -1+1$ or, $x \lt 0$ Now, $4-x \lt -2$ This can also be written as: $-x\lt -2-4$ or, $x \gt 6$ Therefore, our result is: $x \lt 0 $ or $x \gt 6$
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