Suppose that $A = \{ 1,2,3,4,5,6,7,8,9,10 \}$. Let $R$ be the relation on the set $A$ such that $(x, y) \in R$ if and only if $x − y$ is an even integer. $R$ is an equivalence relation. What is the equivalence class for this equivalence relation? My answer is $\{ 1, 3, 5, 7, 9 \}$, is it correct?
2026-04-23 21:21:18.1776979278
What is the equivalence class for this equivalence relation?
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No. Your set is an equivalence class. There is another one, which is $\{2,4,6,8,10\}$.