Find Complement of Sets Tutorial with Definition, Formula, Example

How to Find Complement of Sets - Tutorial, Venn Diagram, Notations

Definition:

In a given set A, the complement of A is the set of entire elements in the universal set U, but not in A.

This tutorial explains you how to find the complement of a sets.


Formula:

A- = U - A Where, A = Set A U = Universal Set A- = Complement of Set A

Notations:

Complement of Set A = A- or A' or Ac

Example :

Set A {2,3,5,6} and universal set is {1,2,3,4,5,6,7,8,9}, Find the complement of Set A.

Solution :

Set A = {2,3,5,6}
Universal Set (U) = {1,2,3,4,5,6,7,8,9}
Complement of Set (A') = U - A
= {1,2,3,4,5,6,7,8,9} - {2,3,5,6}
= {1,4,7,8,9}
Complement of Set (A') = {1,4,7,8,9}

Result :

Complement of set A is {1,4,7,8,9}

Venn Diagram

Complement of set Venn Diagram

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