Answer
$|x|\gt2$.
Work Step by Step
$f(x)=x^2+2x-2$, $g(x)=2x+2$
Here $f(x)\gt g(x)$, thus $x^2+2x-2\gt 2x+2\\x^2\gt4\\|x|\gt2$.
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 2 - Functions - 2.1 Input and Output - Exercises and Problems for Section 2.1 - Exercises and Problems - Page 75: 16
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