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Let A = {x ∈ Z:0≤x≤12}. Show that R={(a,b):a,b∈A,|a−b| is divisible by 4} is an equivalence relation. Find the set of all elements related to 1. Also write the equivalence class [2]. |
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Answer» Let A = {x ∈ Z:0≤x≤12}. Show that R={(a,b):a,b∈A,|a−b| is divisible by 4} is an equivalence relation. Find the set of all elements related to 1. Also write the equivalence class [2]. |
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