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If the set $\{a,b,c,d,e,f,g\}$ is is partitioned into these three partitions:

$\{a, c, e, g\}$

$\{b, d\}$

$\{f\}$

and an equivalence relation is produced by these partitions, is $\{a,c,e,g\}$ an equivalence class?

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    Crap. I meant for the first one to say {a, c, e, g} instead of {a, b, e, g}. Fixed it now; thanks for pointing it out.2011-12-07

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As updated, yes. Wikipedia has more

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    Perfect, just what I needed to know. Thanks.2011-12-07