What do mean by relation? Write down the properties of relations.

Relation : A relation is a set of pairs. The first component of each pair is chosen from a set called the domain and the second component of each pair is chosen from a set called the range. If R is a relation and (a,b) is a pair in R, then we often write a Rb

Properties of relation : 

1) We say a relation R on set S is

2) Reflexive if a Ra for all a in S.

3) Irreflexive if a Ra is false for all a in S.

4) Transitive if aRa and bRc imply aRc

5) symmetric if aRa implies bRa

6) Asymmetric if aRb implies that bRa is false.

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