The set of all elements in the universal set that is not in set A is called the_____ of set A.

Solution:

The set of all elements in the universal set that is not in set A is called the complement of set A.

If the 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 other words, the complement of a set A is the difference between the universal set and set A.

For example: U = {1, 2, 3, 5, 7, 9, 11, 13}, A = {1, 2, 3, 5}, find the complement of A.

A' = U - A = {1, 2, 3, 5, 7, 9, 11,13} - {1, 2, 3, 5} = {7, 9, 11, 13}

The set of all elements in the universal set that is not in set A is called the_____ of set A.

Summary:

The set of all elements in the universal set that is not in set A is called the complement of set A.