Complement of a Set

This function returns the complement of a set. The complement of a set includes all the elements of the universal set that are not present in the given set

To calculate, enter the two sequences of numbers. The individual numbers are separated by semicolons or spaces. Then click on the 'Calculate' button.

Calculate the complement of a set  1st Set Delete Entries  2nd Set  Result

Complement is \(\{4,8, 9\}\)

Example of the complement of a set

The complement of a set is the set that includes all the elements of the universal set \(B\) that are not present in the given set \(A\). \(A\) must be a subset of \(B\). That is, all elements of \(A\) must also be contained in \(B\).

The set of all elements from \(B\) that are not contained in \(A\) are called the complement of \(A\).

The complement of \(A=\{5, 6, 7\}\) and \(B=\{4, 5, 6, 7, 8, 9\}\) is \(\{4,8,9 \}\), because these numbers are not contained in \(A\).