alleryA relation R is defined on A = {1, 2, 3, 4, 6} by R = {(a, b): b is exactly divisible by a; a, b ∈ A}. The domain of R is:
A{1, 4, 6}
B{1, 2, 3}
C{2, 3, 4, 6}
D{1, 2, 3, 4, 6}
Answer & Solution
Correct answer: D. {1, 2, 3, 4, 6}
For every a ∈ A, a divides itself, so (a, a) ∈ R. So the domain (set of all first coordinates) contains every element of A: {1, 2, 3, 4, 6}.
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