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Empty set is a _______.
- a)Infinite set
- b)Finite set
- c)Unknown set
- d)Universal set
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Empty set is a _______.a)Infinite setb)Finite setc)Unknown setd)Univer...
The cardinality of the empty set is zero, since it has no elements. Hence, the size of the empty set is zero.
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Empty set is a _______.a)Infinite setb)Finite setc)Unknown setd)Univer...
Empty set is a Finite set
An empty set, also known as a null set, is a set that does not contain any elements. It is denoted by the symbol ∅ or {}. Despite not having any elements, an empty set is still considered a set in mathematics.
Finite set
A finite set is a set that has a specific number of elements. In the case of an empty set, the number of elements is zero. Since it is clearly defined and has a definite number of elements (which is none in this case), an empty set is categorized as a finite set.
Explanation
- A set is considered infinite if it has an uncountable number of elements, which is not the case with an empty set.
- An unknown set refers to a set whose elements are not specified or known, which does not apply to an empty set.
- A universal set is the set of all possible elements under consideration, which is unrelated to the concept of an empty set.
Therefore, based on the definition of a finite set and the characteristics of an empty set, it is accurate to classify an empty set as a finite set.
An empty set, also known as a null set, is a set that does not contain any elements. It is denoted by the symbol ∅ or {}. Despite not having any elements, an empty set is still considered a set in mathematics.
Finite set
A finite set is a set that has a specific number of elements. In the case of an empty set, the number of elements is zero. Since it is clearly defined and has a definite number of elements (which is none in this case), an empty set is categorized as a finite set.
Explanation
- A set is considered infinite if it has an uncountable number of elements, which is not the case with an empty set.
- An unknown set refers to a set whose elements are not specified or known, which does not apply to an empty set.
- A universal set is the set of all possible elements under consideration, which is unrelated to the concept of an empty set.
Therefore, based on the definition of a finite set and the characteristics of an empty set, it is accurate to classify an empty set as a finite set.
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Empty set is a _______.a)Infinite setb)Finite setc)Unknown setd)Universal setCorrect answer is option 'B'. Can you explain this answer?
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