The set of all Equivalence Classes of a set A of Cardinality C

2007

The set of all Equivalence Classes of a set A of Cardinality C

Answer: C. forms a partition of AAn equivalence relation divides a set into mutually disjoint equivalence classes. Every element belongs to exactly one class, so the set of all equivalence…

  1. A.

    is of cardinality 2c

  2. B.

    has the same cardinality as A

  3. C.

    forms a partition of A

  4. D.

    is of cardinality C2

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Correct answer: C

An equivalence relation divides a set into mutually disjoint equivalence classes. Every element belongs to exactly one class, so the set of all equivalence classes forms a partition of A.

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