Answer
$a=-9$ and $b=1$
Work Step by Step
We are given:
$|x+2|\lt 5$
$-5\lt x+2\lt 5$
We subtract $4$:
$-5-4\lt x+2-4\lt 5-4$
$-9\lt x-2\lt 1$
Therefore:
$a=-9$ and $b=1$
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