College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.7 - Solving Inequalities - 1.7 Exercises - Page 148: 74

Answer

$(\frac{2}{3},+\infty)$

Work Step by Step

$3x^{2}-5x+2$ is a real number when $3x^{2}-5x+2\geq0$ We have $3x^{2}-5x+2=(x-1)(x-\frac{2}{3})$ is zero at $x=\frac{2}{3}, x=1$ $x\lt\frac{2}{3}$ is negative, $3x^{2}-5x+2$ is not defined as a real number.
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