Answer:

Yes, 0 can be part of an interval. When expressing intervals, the notation typically used is [a, b] or (a, b), where 'a' represents the lower bound and 'b' represents the upper bound of the interval. The brackets [ ] indicate that the endpoints are included in the interval, while the parentheses ( ) indicate that the endpoints are excluded.

In the examples you provided:

1. 0-1: This represents the interval from 0 to 1, inclusive. It means that both 0 and 1 are part of the interval.

2. 2-3: This represents the interval from 2 to 3, exclusive. It means that 2 is included, but 3 is not.

3. 4: In this case, 4 represents a single value and is not an interval. It is a standalone number.

4. 1-2: This represents the interval from 1 to 2, exclusive. It means that 1 is included, but 2 is not.

5. 3-4: This represents the interval from 3 to 4, exclusive. It means that 3 is included, but 4 is not.

So, in the examples given, 0 can be part of an interval if it is specified as either the lower or upper bound of the interval.