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: 31

Answer

$x^2-16\gt0$ $(x+4)(x-4)\gt0$ $x\lt-4$ and $x\gt4$

Work Step by Step

Step 1: Factorize quadratic inequality (difference of squares) Step 2: The roots of the function is $x=-4$ and $x=4$ Step 3: The quadratic function of the inequality is greater than $0$ at $x\lt-4$ and $x\gt4$
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