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Question
Let A = [1, 2, 3, 5], B = [4, 6, 9] and R be a relation from A to B defined by R = {(x, y) : x − yis odd}. Write R in roster form.
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Solution
Given:
A = {1, 2, 3, 5} and B = {4, 6, 9}
R = {(x, y) : x − y is odd}
Since 1 -4 = -3 is odd, we have: 1 - 6 = - 5 is odd
2 - 9 = -7 is odd
3 - 4 = -1 is odd
3 - 6 = -3 is odd
5 - 4 = 1 is odd
5 - 6 = -1 is odd
∴ R = {(1,4),(1,6),(2,9),(3,4),(3,6),(5,4),(5,6)}
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