Sum

Find the following relation as sets of ordered pairs:

{(x, y) / y = 3x, x ∈ {1, 2, 3}, y ∈ {3, 6, 9, 12}}

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#### Solution

(x, y) / y = 3x, x ∈ {1, 2, 3}, y ∈ {3, 6, 9, 12}}

Here y = 3x

When x = 1, y = 3(1) = 3

When x = 2, y = 3(2) = 6

When x = 3, y = 3(3) = 9

∴ Ordered pairs are {(1, 3), (2, 6), (3, 9)}

Concept: Relations of Sets

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