Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 3 - Linear and Quadratic Functions - 3.5 Inequalities Involving Quadratic Functions - 3.5 Assess Your Understanding - Page 160: 20


The solution set is empty.

Work Step by Step

$25x^2+16<40x$, I subtract $40x$ from both sides and then factor the trinomial: $25x^2-40x+16<0\\ (5x-4)^2<0$ The square of all real numbers is non-negative, hence for any real number, th value of $(5x-4)^2$ is never negative. Thus, the given inequality has no solution.
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