Question

Consider the following sets: u={1,2,3,4,5,6,7,8,9,10,15,20} , a={1,5,10,15,20} and b={5,6,7,8,9,10}. what is the complement of b?

Answer 1

The complement of set B is {1,2,3,4,15,20}, which consists of the elements from the universal set U that are not present in set B.

Step-by-step explanation:

To find the complement of set B with regard to the universal set U, you need to identify all the elements in U that are not in B. Given the universal set U = {1,2,3,4,5,6,7,8,9,10,15,20} and the set B = {5,6,7,8,9,10}, the complement of B, denoted as B', includes all the elements of U that are not in B.

So, to find B', subtract the elements of B from U:

B' = {1,2,3,4,5,6,7,8,9,10,15,20}

Therefore, the complement of B (B') is {1,2,3,4,15,20}.

The process of finding complements is applicable to various scenarios involving sets, providing a way to describe elements that do not belong to a particular set.