Applying the relationships discussed above:

`- 2 < x - 3 < 2`

Adding `3` to all sides, we get:

`-2 + 3 < x - 3 + 3 < 2 + 3`

`1 < x < 5`

Here is the graph of our solution:

1234560-1xOpen image in a new page

Convince yourself that this answer is correct by checking. Try `x = 0` (should fail, because it is outside the range of our answer), `x = 3` (should work) and `x = 10` (should fail). Every time you check like this, it becomes clearer why we solve it this way.

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