Math Problem Statement
Find the cardinality of the set A, where A = ∅ (the empty set).
Solution
The question asks to find the cardinality of the set , where (the empty set).
The cardinality of a set is the number of elements in that set. Since the empty set contains no elements by definition, its cardinality is .
The correct answer is: 0, as is the empty set, which contains no elements.
Would you like further clarification on the empty set or cardinality? Here are some related questions to deepen your understanding:
- What is the difference between an empty set and a set with one element?
- Can an empty set be a subset of another set?
- How is the concept of the empty set used in real-world problems?
- What is the cardinality of a set with multiple elements?
- How do you represent the empty set in different contexts, such as in logic or programming?
Tip: In set theory, the empty set is denoted by or , and it is a subset of every set.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Cardinality
Empty Set
Formulas
Cardinality of a set is the number of elements in the set.
Theorems
An empty set contains no elements, thus its cardinality is 0.
Suitable Grade Level
Grades 9-12