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