Answer
$(-\infty,2)$.
Work Step by Step
Expand the original expression to get $3x^2-6\lt 2x^2-4x+2+x^2 \ \Longrightarrow 4x\lt8 \Longrightarrow x\lt2 $ or $(-\infty,2)$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 3 - Polynomial and Rational Functions - Section 3.6 Polynomial and Rational Inequalities - 3.6 Assess Your Understanding - Page 264: 55
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