# Set Builder Form

Again consider set A = {1, 2, 4, 5, 8, 64, 625}. Define R on A by x

*R*y if x

^{3}= y.

In this case, the relation R is given as

R = {(x, y) | x

^{3}= y, where x, y âˆˆ A }

This form of representing a relation is called set builder form.

Consider the sets A = {1, 2, 3} and B = {4, 6, 7, 10, 11}. Define the relation form A to B as x R y if y = 3x + 1. The set builder form of this relation is

R = {(x, y) | y = 3x + 1, where x âˆˆ A and y âˆˆ B}