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Kinds of sets and its example?
Sets are collection of distinct objects. In mathematics there are different types of sets like Finite set, Infinite set, Universal set, subset, equal set, equivalent set. Example of Finite set {1,2,3,4}. Infinite set:{1,2,3....}.
Why sets are important in mathematics?
For defining
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.
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.
What is mean by Disjoint sets in Mathematics?
Two sets are considered disjoint if they have no elements in common.
What is sub sets in mathematics?
a subset is when all elements are equivalent to eachother
Kinds of sets and its example?
Sets are collection of distinct objects. In mathematics there are different types of sets like Finite set, Infinite set, Universal set, subset, equal set, equivalent set. Example of Finite set {1,2,3,4}. Infinite set:{1,2,3....}.
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 are the example of equivalent sets?
P={1,3,5,7,9} q={2,4,6,8,10}
Why sets are important in mathematics?
For defining
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 elament of mathematics?
the objects that comprisethe 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.
What is mean by Disjoint sets in Mathematics?
Two sets are considered disjoint if they have no elements in common.
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.
