Inclusion (subset, proper subset), mutual inclusion (equality), mutual exclusion (inequality), intersection, union and complement.
Because the relationship between two sets is characterized by the relationship between elements and sets.
The relationship between elements and sets can be divided into two types: attribution and non-attribution.
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How to judge the relationship between the two groups, what is the relationship between the two groups and how to express it?
1. subset: If all elements of set A are elements of set B at the same time, set A is said to be included in set B.
(A is called a subset of B), write A? B.
2. proper subset: If A is a subset of B and A is not equal to B, call A proper subset of B and write A? B.
3. two sets are equal: if two sets contain each other, they are said to be equal, and a = B.
4. Intersection: The set of elements belonging to A and B is called the intersection (set) of A and B, which is marked as A∩B (or B∩A) and pronounced as "A ∩ B" (or B ∩ A), that is, A ∩ B = {x | x \.
5. Union set: The set whose elements belong to A or B is called the union (set) of A and B, marked as A∪B (or B∪A), and read as "A and B" (or B and A), that is, A∪B={x|x∈A,
6. Complement set: The set consisting of elements belonging to the complete set U but not to the set A is called the complement set of the set A under the complete set, and is denoted as CuA, that is, CuA={x|x∈U, and x does not belong to A}.
How to express that two sets are not related in mathematics?
There are no two unrelated sets.