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When are two sets equivalent?

Updated: 9/23/2023
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Q: When are two sets equivalent?
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Definition of equivalent sets?

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


Can two disjoint sets be equivalent?

Yes,Because not all disjoint no equivalent other have disjoint and equivalent


Do the intersection of two sets always contains a smaller number of terms than the union of two sets?

No, because the intersection of two equivalent sets will have a union the same size as its intersection.


How many sets of equivalent hydrogen are there in the compound 2-methylpropane?

3


What is the definition of equivalent sets?

Two sets are said to be equivalent if the elements of each set can be put into a one-to-one relationship with the elements of the other set.


Are two empty sets equivalent?

Yes, both have cardinality 0.


Integer and natural number are equivalent sets if equivalent show that?

They are not equivalent sets.


What is meaning of equivalent sets?

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


Are integers and natural numbers equivalent sets?

No, they are not equivalent sets.


Are equivalent sets equal sets why?

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


What is equal and equivalent set?

Two sets are equal if they have the same elements. Two sets are equivalent if there is a bijection from one set to the other. that is, each element of one set can be mapped, one-to-one, onto elements of the second set.


Why equal set are equivalent set but equivalent set are not equal set?

Two sets are equivalent if they have the same cardinality. In [over-]simplified terms, if they have the same number of distinct elements. Two sets are equal if the two sets contain exactly the same distinct elements. So {1, 2, 3} and {Orange, Red, Blue} are equivalent but not equal. {1, 2, 3} and {2, 2, 2, 3, 1, 3} are equal.