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For R = {(a,b) : a divides b} on ℕ, R is:
AReflexive only
BReflexive and transitive
CSymmetric only
DEquivalence relation
Answer & Solution
Correct answer: B. Reflexive and transitive
a divides a, so reflexive. If a|b and b|c then a|c, so transitive. Not symmetric: 2|6 but 6 does not divide 2.
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