Answer
$\varnothing$.
Work Step by Step
The given expression is
$\Rightarrow \left | x-2\right |\lt-1$
Absolute values are always positive. Thus, they cannot be less than a negative number. Therefore, there is no solution, $\varnothing$.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 4 - Section 4.3 - Equations and Inequalities Involving Absolute Value - Exercise Set - Page 284: 63
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