Suppose U = {1, 5, 7, 9, 10, 11, 15, 16, 18} is the universal set and A = {1,7,11,15,16}. What is A?
A is a subset of the universal set U. Therefore, A consists of the elements {1, 7, 11, 15, 16}.
To find A, we need to understand what A represents. In set theory, A refers to a subset of a universal set, which contains specific elements that meet certain criteria. In this case, A represents a subset of the universal set U, which contains the elements 1, 7, 11, 15, and 16.
To determine whether an element belongs to A or not, we compare it with the given elements in A. If the element is present in A, we include it in the subset; otherwise, we exclude it.
Looking at the elements in U and A, we see that all the elements in A are also present in U. Hence, A = {1, 7, 11, 15, 16}.
Therefore, A is the subset {1, 7, 11, 15, 16}, which consists of the elements 1, 7, 11, 15, and 16 from the universal set U.
To find A, we need to identify the elements in set A.
Given that A = {1, 7, 11, 15, 16}, set A consists of the elements 1, 7, 11, 15, and 16.