How about the idea that the best range specification is: position of first item in the range, position of first item just past the end of the range.
Programming examples: Python range function & slice notation, C++ STL ranges.
Real life example: A room is being renovated. It is unavailable starting on the 3rd, and available again starting on the 8th (as opposed to unavailable from the 3rd to the 7th -- how many days is that?).