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Question
Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): a, b ∈ A, b is exactly divisible by a}.
- Write R in roster form
- Find the domain of R
- Find the range of R.
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Solution
A = {1, 2, 3, 4, 6},
R = {(a, b): a, b ∈ A, b is exactly divisible by a}
- R = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (6, 6)}
- Domain of R = {1, 2, 3, 4, 6}
- Range of R = {1, 2, 3, 4, 6}
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