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: 63


$-1 \lt x \lt 3$

Work Step by Step

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