Answer
$(-1,6)$.
Work Step by Step
$x^2-3x\lt 6+2x$,
$x^2-5x-6\lt0$,
$(x+1)(x-6)\lt 0$,
The $\lt$ sign indicates that the solution will be within the region formed by the boundary points $x=-1, 6$, thus we have the solution interval $(-1,6)$.
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 10 - Systems of Equations and Inequalities - Section 10.2 Systems of Linear Equations: Matrices - 10.2 Assess Your Understanding - Page 752: 93
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