Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Review - Exercises - Page 136: 136

Answer

$(-\infty, -1] \cup [6, +\infty)$

Work Step by Step

The equation involves only the variable x. Notice that the value of $x^2-4x$ (which is represented by the parabola) is greater than or equal to the value of $x+6$ (which is represented by the line) in the following intervals: $(-\infty, -1]$ $[6, +\infty)$ Therefore, the solution to the given inequality is: $(-\infty, -1] \cup [6, +\infty)$
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