1.

Define complement of a set.

Answer»

Let U be the universal set and A a subset of U. Then the complement of A is the set of all elements of U which are not the elements of A and is denoted by A’. 

Properties:

  • A∪A’
  • A∩A’=φ
  • (A’)’=A
  • (A∪B)’= A’∩B’
  • (A∩B)’ -A’∪B’


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