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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.
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∙ 9y ago
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At least 3 examples of equivalent sets?
no
What is the examples of equivalent sets?
A={1,2,3} Z={6,7,2} it is the same number of items
Integer and natural number are equivalent sets if equivalent show that?
They are not equivalent sets.
Give you examples of finite sets of numbers?
sets
What is the meaning of equivalent set?
Equivalent sets are sets with exactly the same number of elements.
At least 3 examples of equivalent sets?
no
What is the examples of equivalent sets?
A={1,2,3} Z={6,7,2} it is the same number of items
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
Give you examples of finite sets of numbers?
sets
Are all equivalent sets are equal sets?
Yes. Equivalent means equal.
What is the meaning of equivalent set?
Equivalent sets are sets with exactly the same number of elements.
Is it true that all equal sets are equivalent sets?
Yes.
Definition of equivalent sets?
two sets A and B are said to be equivalent if there exists a bijective mapping between A and B
Are equal sets equivalent set?
yes, equal sets are equalent
