Answer
$[-1,3)$
Work Step by Step
The idea is to isolate x on one side.
Adding, subtracting or multiplying/dividing with a positive number preserves order (the inequality symbol remains the same).
Multiplying/dividing with a negative number inverts the order (the inequality symbol changes).
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$-3 \leq x-2 \lt 1 \qquad $ ... add $2$ to all
$-3+2 \leq x-2+2 \lt 1+2$
$-1\leq x \lt 3$
... left border included, right border excluded
The solution set is $[-1,3).$
