Definition:Real Interval/Half-Open/Left

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

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

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

Also see

 * Definition:Right Half-Open Real Interval