Answer: (9,950 to 10,049)
Explanation:
The nearest hundred is the third digit (counting from the right).
When we round up/down, we must look at the previous digit (the second in this case).
If the digit is larger than 5, we round up
if the digit is 5 or less, we round down.
Then if the rounded number is 10,000.
The rounded down version will be:
10,049
(49 < 50, then we should round down to 10,000)
The rounded up version will be:
9,950.
this number would be the smallest number that can be rounded up to 10,000.
Then the possible range is:
(9,950 to 10,049)