To be equivalent, the sets should have the same cardinality. ... Definition 2: Two sets A and B are said to be equivalent if they have the same cardinality i.e. n(A) = n(B). In general, we can say, two sets are equivalent to each other if the number of elements in both the sets is equal.

How do you know if sets are equivalent?

Equivalent sets have different elements but have the same amount of elements. If we want to write that two sets are equivalent, we would use the tilde (~) sign. A set's cardinality is the number of elements in the set. Therefore, if two sets have the same cardinality, they are equivalent!

What is the example of equivalent set?

For example, if A = {1, 2, 3, 4, 5}, C = {2, 4, 6, 7, 9}, and D = {2, 5, 6} . Sets A and C have the same number of elements but all the elements are not equal. Therefore, A and C are equivalent sets. Now, sets A and D do not have the same cardinality and the elements are also not equal.