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For any function f: X to Y, R = {(a, b): f(a) = f(b)} on X is
AThe empty relation on X
BReflexive but not symmetric
CAn equivalence relation
DSymmetric but not transitive
Answer & Solution
Correct answer: C. An equivalence relation
Equality of f-values is reflexive, symmetric and transitive because equality of numbers has these properties.
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