Answer
$a=2$ and $b=8$
Work Step by Step
We are given:
$|x-1|\lt 3$
$-3\lt x-1\lt 3$
We add $5$:
$-3+5\lt x-1+5\lt 3+5$
$2\lt x+4\lt 8$
Therefore:
$a=2$ and $b=8$
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