Answer
Solution in interval notation:
$[-1,3)$
See graph below.
Work Step by Step
We are asked to solve the inequality:
$-3\le x - 2 \lt 1$
To obtain the solution, we need to isolate $x$.
We add $2$ to all sides:
$-3+2\le x - 2 +2\lt 1+2$
$-1\le x \lt 3$
In interval notation, this can be written as:
$[-1,3)$
See the graph of the inequality below.
