Definition:Real Interval/Half-Open

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Definition

Let $a, b \in \R$.

There are two half-open (real) intervals from $a$ to $b$.


Right half-open

The right half-open (real) interval from $a$ to $b$ is the subset:

$\hointr a b := \set {x \in \R: a \le x < b}$


Left half-open

The left half-open (real) interval from $a$ to $b$ is the subset:

$\hointl a b := \set {x \in \R: a < x \le b}$


Also known as

This can often be seen rendered as half open interval.


Also see


Sources