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Two sets are equivalent if there exists a one-to-one mapping from the elements of one set to the other. It is quite easy to see that for finite sets this requires the two sets to have the same number of distinct elements.

So, for example, C = {Red, Blue, White, Red, Red} and N = {2, 4, 5} are equivalent sets. One possible mapping is

Blue -> 1

Red -> 2

White -> 3

It can get confusing when you get to infinite sets. Consider the set of all positive integers, N, and all positive even numbers, E. You might think that they cannot be equivalent because the set N contains all of E and it also has all odd number in it.

However, the mapping: f, from N to E given by f(x) = 2x is one-to-one and therefore the two sets are equivalent.

Q: What is equivalent sets and their examples?

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no

A={1,2,3} Z={6,7,2} it is the same number of items

They are not equivalent sets.

sets

Equivalent sets are sets with exactly the same number of elements.

Related questions

no

A={1,2,3} Z={6,7,2} it is the same number of items

They are not equivalent sets.

Equivalent sets are sets with exactly the same number of elements.

No, they are not equivalent sets.

No, because equivalent sets are sets that have the SAME cardinality but equal sets are sets that all their elements are precisely the SAME. example: A={a,b,c} and B={1,2,3} equivalent sets C={1,2,3} and D={1,2,3} equal sets

Yes. Equivalent means equal.

sets

Equivalent sets are sets with exactly the same number of elements.

Yes.

two sets A and B are said to be equivalent if there exists a bijective mapping between A and B

yes, equal sets are equalent