Answer:
See attachment.
Explanation:
The given inequality is -2 < x - 3 < 5.
We add 3 to each part of -2 +3< x - 3+3 < 5+3
We now simplify to get: 1 < x < 8.
To represent this on the number line, we have to draw open circles at 1 and 8 and connect them as shown in the attachment.