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Earn +20 ptsQ: 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
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.
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 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.
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