. what do you mean by complement of a set?


Best Answer

The complement of a set is the set that consists of all the elements of the universal set that are not present in the given set. Let A is a set of all coins which is a subset of a universal set that consists of all coins and notes, so the complement of set A is a set of notes which do not consists of coins. In this article we will talk about the complement of a set, its definition along with properties, solved examples, and exercise questions.

If universal set (U) is having a subset A then the complement of set A which is represented as A', is other than the elements of set A which includes the elements of the universal set but not the elements of set A. Here, A' = {x ∈ U: x ∉ A}. In different words, the complement of a set A is the difference between the universal set and set A.

Symbol of Complement of a Set:

A' = U - A.

 

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