Definition:Real Interval/Half-Open/Right

Definition
Let $a,b\in\R$ be real numbers.

The right half-open (real) interval from $a$ to $b$ is the subset:
 * $\hointr a b := \set {x \in \R: a \le x < b}$

Also known as
A right half-open interval is also called half-open on the right, left half-closed, or half-closed on the left.

Also see

 * Definition:Left Half-Open Real Interval