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Question
Write the relation in the Roster Form. State its domain and range
R7 = {(a, b)/a, b ∈ N, a + b = 6}
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Solution
R7 = {(a, b)/a, b ∈ N, a + b = 6}
Here, a + b = 6
When a = 1, b = 5
When a = 2, b = 4
When a = 3, b = 3
When a = 4, b = 2
When a = 5, b = 1
∴ R7 = {(1, 5), (2, 4), (3, 3), (4, 2), (5, 1)}
Domain (R7) = {1, 2, 3, 4, 5}
Range (R7) = {5, 4, 3, 2, 1}
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