Answer
$\varnothing$.
Work Step by Step
The given expression is
$\Rightarrow \left | x-3\right |\lt-2$
Absolute values are always positive. Thus, they cannot be less than a negative number. Therefore, there is no solution, $\varnothing$.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.