This is particularly applicable in the context of numbers.
Thus the expression $A \preceq B$ can in such contexts be interpreted as:
- $A$ is smaller than $B$
- $A$ is less than $B$
and $B \preceq A$ can similarly be interpreted as:
- $A$ is larger than $B$
- $A$ is greater than $B$
Depending on the nature of the set being ordered, and depending on the nature of the ordering relation, this interpretation of an ordering as a comparison of size may not be intellectually sustainable.