Answer
$ (-2,4)$
See graph.
Work Step by Step
Step 1. $5-|x-1|\gt2 \longrightarrow |x-1|\lt3 \longrightarrow -3\lt x-1\lt3 \longrightarrow -2\lt x\lt4$, thus we have the solution $ (-2,4)$
Step 2. See graph.
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