Answer
$(-\frac{11}{4},\infty)$.
Work Step by Step
Expand the original expression to get $x^2-x-6\lt x^2+3x+5 \Longrightarrow 4x\gt-11 \Longrightarrow x\gt-\frac{11}{4} $ or $(-\frac{11}{4},\infty)$.
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: 56
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