Confused about this question: Describe two binary relations $R$ and $S$ on $\{1, 2, 3\}$ that are not equivalence relations, but whose composition $R\circ S$ is an equivalence relation.
2026-04-04 13:47:53.1775310473
Discrete Mathematics: Relations
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Hint: It's quite easy to make sure that the composition $R\circ S$ will be $\{1,2,3\}\times \{1,2,3\}$. Figure out a simple condition that ensures that, and then it should be easy to make sure none of $R$ or $S$ is an equivalence relation itself.