A relation from A to A i.e., a subset of A×A, is called a relation on set A.

Inverse relation

When a relation R is from set A to set B, a relation from set B to set A denoted by R

^{-1}is the inverse of R. That is if R is a set of (a,b), then R

^{-1}is a set of (b,a).

In the case Domain of relation R = Range of relation R

^{-1}

Range of relation R = Domain of relation R

^{-1}

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