Directed numbers indicate an inequality to be satisfied on the number line. The inequality may be
1. A closed interval, like
written as
with the endpoints 1 and 2 included as possible values of
The inclusion of the endpoints is indicated by black circles.

2. An open interval, like
written as
with the endpoints -3 and 4 excluded as possible values of
The exclusion of the endpoints is indicate by white circles.

3. A half open interval, like
written as
with the endpoints -2 excluded and 2 included, respectively, as possible values of
Included points are indicated by back circles and excluded points by white circles.

4. One sided inequalities like
or
These are unbounded. Included points are indicated by back circles and excluded points by white circles. That the inequality is one sided is indicated by an arrow at one end.

