Question
Consider the equivalence relation from Example 2 namely, $R=\{(x, y) | x-y \text { is an integer }\} .$a) What is the equivalence class of 1 for this equivalence relation?b) What is the equivalence class of 1$/ 2$ for this equivalence relation?
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Step 1: We are given the equivalence relation $R=\{(x, y) | x-y \text { is an integer }\}$. Show more…
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Consider the following relation on the set of real numbers: R = {(x, y) | x - y is an integer} a) Prove that this is an equivalence relation. b) What is the equivalence class of 1 for this equivalence relation? c) What is the equivalence class of 1/2 for this equivalence relation?
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