When $a <= b <= c$ is there a single word that describes $b$ being between $a$ and $c$ (inclusive)? Is $b$ within $a$ and $c$?
Similarly, when $a < b < c$ is there a single word that describes $b$ being between the bounds $a$ and $c$a (exclusive)? Is $b$ between $a$ and $c$?
It seems like we can say $a$ to $c$ to mean $[a, c]$ and $a$ until $c$ to mean $[a, c)$ so I am curious if there are succinct ways of describing a value within open and closed intervals (until in this example is half-open so is not exactly the same).
You might say that b is bounded by a and c.
Extending this a little, and possibly creating some terminology, you might say the bound is inclusive if equality is possible and exclusive if equality is not.
So you might say that b is exclusively lower bounded by a and inclusively upper bounded by c.
Or, to be traditional, a less than b less than or equal to c.