Question

Let A{1,2, 3, 4, 5, 6, 7,8, 9, 10, 11, 12} . Let R be a relation in AxA defined by (a.b)R(c,d) iff ad bc. 1) Prove that R is

an equivalence relation. 2) Find the equivalence class of (2.3). (HINT: Equivalence class of an element a is the set of all elements that are related to a in the relation. Let R be the relation given by aRb then equivalence class of a is given by la] = {b | aRb} )

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