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Question
Write the relation in the Roster Form. State its domain and range
R5 = {(x, y)/x + y = 3, x, y∈ {0, 1, 2, 3}
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Solution
R5 = {(x, y)/x + y = 3, x, y∈ {0, 1, 2, 3}
Here, x + y = 3
When x = 0, y = 3
When x = 1, y = 2
When x = 2, y = 1
When x = 3, y = 0
∴ R5 = {(0, 3), (1, 2), (2, 1), (3, 0)}
Domain (R5) = {0, 1, 2, 3}
Range (R5) = {0, 1, 2, 3}
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