Does the set of numbers between 101 and 1000 include 101 and 1000?

Answer 1

No.

=====================

Answer #2:

That depends on what you mean when you say "between". That's one of those

oily rubber words that can mean different things to different people, and so are

seldom used in real Science or real Math.

When some people say 'between', they intend to include 101 and 1,000,

while other people would intend NOT to include them.

In real Math, in order to avoid ambiguity, you would not say "between".

If you want to include the ends, you would write 101 ≤ N ≤ 1,000 and if you DON'T want to include the ends, then you write 101 < N < 1,000 .