__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__

**Relation :**

**Properties of relation :**__We say a relation R on set S is__

**1)**__Reflexive if a Ra for all a in S.__

**2)**__Irreflexive if a Ra is false for all a in S.__

**3)**__Transitive if aRa and bRc imply aRc__

**4)****symmetric if aRa implies bRa**

__5)____Asymmetric if aRb implies that bRa is false.__

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