The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B. More formally, x ∈ A ⋂ B if x ∈ A and x ∈ B. The complement of a set A contains everything that is not in the set A. The complement is notated A', or Ac, or sometimes ~A.
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The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B. More formally, x ∈ A ⋂ B if x ∈ A and x ∈ B. The complement of a set A contains everything that is not in the set A. The complement is notated A', or Ac, or sometimes ~A.
Answer:
The union of two sets is a set containing all elements that are in A or in B (possibly both)
For example, {1,2}∪{2,3}={1,2,3}. Thus, we can write x∈(A∪B) if and only if (x∈A) or (x∈B). Note that A∪B=B∪A
The intersection of two sets A and B, denoted by A∩B, consists of all elements that are both in A and B. For example, {1,2}∩{2,3}={2}.
The complement of a set A, denoted by Ac or Ā, is the set of all elements that are in the universal set S but are not in A.
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