Inverse Relation

                                       

                                  Inverse Relation                                                                                  Let R be a relation from A to B. The inverse relation of R, denoted by  R^(-1)   is a relation from B to A and is denoted by                                               

  R^(-1)={( y, x) : x ɛ A, y ɛ B,(x, y) ɛ R}.                                                                                       In other words, the inverse relation is obtained by reversing each of the ordered pairs belonging to R Thus,                           (x,y) ɛ R <=> (y, x) ɛ R^(-1)                                                                                           Evidently, the range of R is the domain of R and vice-versa. If A=B, then R and R are both relations on A.