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Question
Write the relation in the Roster Form. State its domain and range
R4 = {(x, y)/y > x + 1, x = 1, 2 and y = 2, 4, 6}
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Solution
Let R4 = {(x, y)/y > x + 1, x = 1, 2 and y = 2, 4, 6}
Here y > x + 1, where x = 1, 2 and y = 2, 4, 6
When x = 1, 4 > 1 + 1, 6 > 1 + 1
∴ y = 4, y = 6
When x = 2, 4 > 2 + 1, 6 > 2 + 1
∴ y = 4, y = 6
∴ R4 = {(1, 4), (1, 6), (2, 4), (2, 6)}
Domain of R4 = set of first elements of ordered pairs of R4
= {1, 2}
Range of R4 = set of second elements of ordered pairs of R4
= {4, 6}
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