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Two sets are considered equivalent when they contain the same number of elements, regardless of whether the elements themselves are the same or the order in which they are listed. This means there exists a one-to-one correspondence (bijective function) between the elements of the two sets. It’s important to note that equivalent sets can be of different types, such as finite and infinite sets, as long as their cardinalities match.
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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.
Is equal sets and equivalent sets are the same?
No, equal sets and equivalent sets are not the same. Equal sets contain exactly the same elements, meaning every element in one set is also in the other. In contrast, equivalent sets have the same number of elements but may contain different elements. For example, the sets {1, 2, 3} and {3, 2, 1} are equal, while the sets {1, 2} and {4, 5} are equivalent but not equal, as both contain two elements.
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.
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.
How many sets of equivalent hydrogen are there in the compound 2-methylpropane?
3
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.
Is equal sets and equivalent sets are the same?
No, equal sets and equivalent sets are not the same. Equal sets contain exactly the same elements, meaning every element in one set is also in the other. In contrast, equivalent sets have the same number of elements but may contain different elements. For example, the sets {1, 2, 3} and {3, 2, 1} are equal, while the sets {1, 2} and {4, 5} are equivalent but not equal, as both contain two elements.
Are equivalent sets equal?
No, equivalent sets are not necessarily equal. Two sets are considered equivalent if they have the same cardinality, meaning they contain the same number of elements, regardless of the actual elements within them. For example, the sets {1, 2, 3} and {a, b, c} are equivalent because both have three elements, but they are not equal since they contain different elements.
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.
