anonymous
  • anonymous
What are the Equivalence Classes of {1,2,3,4} with the relation being x U {2,3}?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
I think I've got 4 classes. Are the elements {2},{3},{2,3} in one class. And is the empty set {} part of that class? Thanks.
anonymous
  • anonymous
so relation is x U {2,3} and the equivalence classes should be disjoint.
anonymous
  • anonymous
\[{}\cup \{2,3\}=\{2,3\}\] so yes it is there

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anonymous
  • anonymous
i guess there are 3 others. {1},{1,2},{1,3},{1,2,3} is one then {4},{2,4},{3,4}, {2,3,4} {1,4} {1,2,4}, {1,3,4},{1,2,3,4}

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