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Set Builder Form


Again consider set A = {1, 2, 4, 5, 8, 64, 625}. Define R on A by x R y if x3 = y.
In this case, the relation R is given as

R = {(x, y) | x3 = y, where x, y 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 A and y B}




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