Course

ConceptTypes of Relations

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#### Question

Let A = {1, 2, 3,......, 9} and R be the relation in A × A defined by (*a*, *b*) R (*c*, *d*) if *a* + *d* = *b* + *c* for (*a*, *b*), (*c*, *d*) in A × A. Prove that R is an equivalence relation. Also, obtain the equivalence class [(2, 5)].

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