Directed numbers indicate an inequality to be satisfied on the number line. The inequality may be
1. A closed interval, likewritten 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, likewritten 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, likewritten 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 likeor
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.