Examine whether equality of cardinalities is an equivalence relation on sets: i.e. if it is reflexive (A| = |A|), symmetric (if |A| = |B| then A) and transitive (if |A| = |B| and |B| = |C| then |A| = |C|). Justify. |B| =

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Q: Another example of a relation is the divisibility relation (denoted by ), that is, for A=N, where N…

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Q: 1. Verify that the relation ~ is an equivalence relation on the set S given. (a) S = R reals, a ~ b…

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Q: Subject: Set Theory

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