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What is the obvious difference between intersection and union in mathematics?
1, with different properties.

Generally speaking, the intersection of two given sets A and B means that all elements belonging to both A and B are included. In other branches of set theory and mathematics, the union of sets is the set of all elements of these sets, not the set of other elements.

2. Different in nature

Intersection is intersection; Union is addition. The intersection of two sets has * * *, but it means that all works have it. Union refers to the combination of two sets to form a band * * *, such as X belongs to A ∩B if and only if X belongs to A and X belongs to B.

3. Expression differences

The intersection of a and b is written as "A∩B", where a ∩ b = {x 丨∈ a and x ∈ b}; A and b together write "A∪B", that is, A∪B={x|x∈A, or x∈B}.

Extended data:

Intersection:

In set theory, let A and B be two sets, and the set consisting of all elements belonging to set A and set B is called the intersection of set A and set B, that is, A∩B= {x|x∈A∧x∈B}. Write A∩B and read "intersection of a and b"

Trade union:

If A and B are sets, the union of A and B is a set containing all elements of A and all elements of B, but no other elements. The union of a and b is usually written as "A∪B" and read as "a and b", which is expressed in symbolic language, that is, A∪B={x|x∈A or x∈B}. Formally, x is an element of A∪B if and only if x is a.

References:

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