Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 2 - Linear and Quadratic Functions - Section 2.5 Inequalities Involving Quadratic Functions - 2.5 Assess Your Understanding - Page 163: 19

Answer

The solution set is empty (no solutions).

Work Step by Step

We are given the equation: $4x^2+9\lt6x$ We simplify the given inequality as follows: $4x^2+9\lt6x\\4x^2+9-6x\lt 0 \\(2x-1.5)^2-2.25+9\lt0\\(2x-1.5)^2\lt-6.75$ We see that $(2x-1.5)^2$ is never negative. This means that the solution set is empty (no solutions).
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