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: 64

Answer

$5 \leq x \leq 10$

Work Step by Step

Let us consider the both inequalities. $x \geq 3x-10$ This can also be written as: $x-3x \geq -10$ or, $x \geq 5$ Now, $3x-10 \leq 2x$ This can also be written as: $3x-2x \leq 10$ or, $x \leq 10$ Therefore, our result is: $5 \leq x \leq 10$
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