Definition:Real Interval/Half-Open

Definition
Let $a, b \in \R$. There are two half-open (real) intervals from $a$ to $b$, defined as:


 * $\left [{a \,.\,.\, b} \right) := \left\{{x \in \R: a \le x < b}\right\}$


 * $\left ({a \,.\,.\, b} \right] := \left\{{x \in \R: a < x \le b}\right\}$

Also known as
This can often be seen rendered as half open interval.

Also see

 * Definition:Open Real Interval
 * Definition:Closed Real Interval
 * Definition:Unbounded Open Real Interval
 * Definition:Unbounded Closed Real Interval


 * Definition:Half-Open Rectangle, a generalization to higher dimensional spaces