Precalculus (6th Edition)

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

Chapter 3 - Polynomial and Rational Functions - Summary Exercises on Solving Equations and Inequalities - Exercises - Page 383: 19

Answer

$(-\infty, 0)\cup[\frac{3}{2},3)\cup[5,\infty)$

Work Step by Step

Given $\frac{2x^2-13x+15}{x^2-3x}\geq0$, we can identify it as an inequality. Graph $f(x)=\frac{2x^2-13x+15}{x^2-3x}$ as shown in the figure and we can find the solution set as $(-\infty, 0)\cup[\frac{3}{2},3)\cup[5,\infty)$
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