सम्बन्ध `R={(2,1),(3,2),(4,3),(5,4)}` एक फलन है।

A=(1,2,3,4),B=(3,4) and R={(3,1),(3,2),(4,1),(4,2),(4,3)} is a relation from B into A. write R in set-builder form.

If AxxB = {(1,2),(3,4),(5,2),(1,4),(3,2),(5,4)} , find BxxA .

If X = {1,2,3,4,5}, Y = {1,3,5,7,9} determins which of the following relations from X to Y are functions ? Give reasonfor your answer. If it is a function. State its type. (i) R_(1) = {(x,y) | y = x + 2, x in X , y in Y } (ii) R_(2) = {(1,1),(2,1),(3,3),(4,3),(5,5)} (iii) R_(3) { (1,1),(1,3),(3,5),(3,7),(5,7)} (iv) R_(4) {(1,3),(2,5),(4,7),(5,9),(3,1)}

There are three relations R_(1) , R_(2) and R_(3) such that R_(1) = {(2,1),(3,1),(4,2)} , R_(2) = {(2,2),(2,4),(3,3),(4,4)} and R_(3) = {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} then

Let R={(1,3),(4,2),(2,4),(2,3),(3,1)} be a relation the set A={1,2,3,4}. The relation R is

If R={(2,3),(3,1),(5,4),(4,3)}, then what is the Range of R?