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Earn +20 ptsQ: What is equal set from equivalent sets?
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If two sets are equal are they necessarily equivalent?
T, The set of integer geater than requal to negative five
Is it true that all equal sets are equivalent sets?
Yes.
What is equal set?
Two sets are equal if they both contain the same elements.
Are A equals abc and B equals 123 an equal set?
No, they are not equal sets.
What equivalent set?
Two sets are equivalent if they have the same cardinality. For finite sets this means that they must have the same number of distinct elements. For infinite sets, equal cardinality means that there must be a one-to-one mapping from one set to the other. This can lead to some counter-intuitive results. For example, the cardinality of the set of integers is the same as the cardinality of the set of even integers although the second set is a proper subset of the first. The relevant mapping is x -> 2x.
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