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: 40


$x^3+7x^2+12x\leq0$ $x(x^2+7x+12)\leq0$ $x(x+4)(x+3)\leq0$ $-3\leq x\leq 0$ and $x\leq-4$

Work Step by Step

Step 1: Factorize inequality (common factor) Step 2: Factorize expression inside brackets (Trinomial) Step 3: The function will be smaller than $0$ for $-3\leq x\leq 0$ and $x\leq-4$
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