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Find the following relation as sets of ordered pairs: {(x, y) / y = 3x, x ∈ {1, 2, 3}, y ∈ {3, 6, 9, 12}} - Mathematics and Statistics

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Question

Find the following relation as sets of ordered pairs:
{(x, y) / y = 3x, x ∈ {1, 2, 3}, y ∈ {3, 6, 9, 12}}

Sum

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)}

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Relations of Sets
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Chapter 1: Sets and Relations - Exercise 1.2 [Page 16]

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