Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.7 Inequalities - 1.7 Exercises - Page 159: 18


$\color{blue}{(-\infty, +\infty)}$

Work Step by Step

Subtract each term of the binomial to obtain: $6x-2x-3 \ge 4x-5 \\4x-3 \ge 4x-5$ Add $3$ and subtract $-4x$ to both sides, then combine like terms to obtain: $4x-3+3-4x\ge 4x-5+3-4x \\0\ge -2$ The resulting statement above is true, which means that any real numbers is a solution. Thus , the solution set is: $\color{blue}{(-\infty, +\infty)}$
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