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Write the relation in the Roster Form. State its domain and range R3 = {(x, y)/y = 3x, y∈ {3, 6, 9, 12}, x∈ {1, 2, 3} - Mathematics and Statistics

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Question

Write the relation in the Roster Form. State its domain and range

R3 = {(x, y)/y = 3x, y∈ {3, 6, 9, 12}, x∈ {1, 2, 3}

Sum

Solution

R3 = {(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

∴ R3 = {(1, 3), (2, 6), (3, 9)}

Domain (R3) = {1, 2, 3}

Range (R3) = {3, 6, 9}

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Chapter 5: Sets and Relations - Exercise 5.2 [Page 103]

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