Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.5 Inequalities - R.5 Exercises - Page R-21: 41


$2x^3-14x^2+12x\lt0$ $2x(x^2-7x+6)\lt0$ $2x(x-1)(x-6)\lt0$ $x\lt0$ and $1\lt x\lt6$

Work Step by Step

Step 1: Factorize inequality (common factor: $2x$) Step 2: Factorize expression inside brackets (trinomial) Step 3: The function is smaller than $0$ for $x\lt0$ and $1\lt x\lt6$
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