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 4.1 - Solving Linear Inequalities - Exercise Set - Page 265: 83

Answer

It makes sense.

Work Step by Step

It makes sense. For example, we have $$ax+b\lt ax +c\Longrightarrow b\lt c.$$ So the solution depends on the constant $b$ and $c$; if $b\lt c$ then the solution is $ (-\infty, \infty)$ otherwise the solution is $\varnothing $.
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