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Complement of a Set

Define Relati...

Question

Define Relation $R$ in the set $A = 1, 2, 3, 4, 5, 6$ as $R = (x, y) : y is divisible by x$

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Solution

The relation $R (x, y) : y i s d i v i s i b l e b y x$ is defined on the set $A = {1, 2, 3, 4, 5, 6}$ .

It is known that the elements are divisible by itself. So, the roster form of the given relation will be,

$R = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 4), (2, 6), (3, 6)}$

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