Answer
$-1 \lt x \lt 3$
Work Step by Step
Let us consider the both inequalities.
$2x-1 \gt x-2$
This can also be written as: $2x-x \gt -2+1$
or, $x \gt -1$
Now, $2x-1 \lt x+2$
This can also be written as: $2x-x\lt 2+1$
or, $x \lt 3$
Therefore, our result is: $-1 \lt x \lt 3$
