Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.7 - Polynomial and Rational Inequalities - Exercise Set - Page 413: 18

Answer

$(-\infty, \infty)$; see graph and explanations.

Work Step by Step

Step 1. Rewrite the inequality as $4x^2-4x+1\geq0$ or $(2x-1)^2\geq0$; we can see that the solution is all real numbers. Step 2. We can express the solutions on a real number line as shown in the figure. Step 3. We can express the solutions in interval notation as $(-\infty, \infty)$
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