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Each element in a set is unique.
The elements of a set may be discrete or continuous.
A set may contain no element at all, finite number of elements or infinite number of elements.
If A and B are two sets, then the following results hold true:
If R is a relation from a set A to set B, then the set of all first components or coordinates of the ordered pairs is called the domain of R, while the set of all second components or coordinates of the ordered pairs is called as range of relation.
If R is a relation defined from A to B, then R-1 is a relation defined from B to A as R-1 = {(b,a)| (a, b) ∈ R}.
There can be various types of relations like:
Identity relation
Reflexive relation
Symmetric relation
Transitive relation
Equivalence relation
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