Mathematics, 13.08.2021 14:00 strevino9178

Let A={1,2,3,4,5,6,7,8}A={1,2,3,4,5 ,6,7,8}. Define a relation ∼∼ on AA by a∼ba∼b if and only if 33 divides a−ba−b for all a, b∈Aa, b∈A. 1. Find all the pairs (a, b)∈A×A(a, b)∈A×A such that a∼ba∼b. 2. Show that ∼∼ is an equivalence relation on AA. 3. Find the equivalence classes [2][2] and [3][3].

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Let A={1,2,3,4,5,6,7,8}A={1,2,3,4,5 ,6,7,8}. Define a relation ∼∼ on AA by a∼ba∼b if and only if 33 ...