< b="" />Explanation of Union E = A < b="" />
The union of sets is a fundamental concept in set theory. It refers to the combination of elements from multiple sets into a single set. In this case, we are given that the union E is equal to the set A, where E is a superset of A. Let's break down this statement and understand it in detail.

< b="" />Definition of a Superset< b="" />
A superset is a set that contains all the elements of another set, called the subset. In other words, if A is a subset of E, then E is a superset of A. This means that every element in A is also an element of E, but E may have additional elements that are not in A.

< b="" />Understanding the Union of Sets< b="" />
The union of sets A and B, denoted as A ∪ B, is the set that contains all the elements from both sets, without any repetition. In this case, the union E is equal to the set A, which means that all the elements of A are included in E, but E may have additional elements that are not in A.

< b="" />Visual Representation< b="" />
To understand this concept visually, let's consider a Venn diagram. Imagine two overlapping circles, one representing set A and the other representing set E. All the elements in A are within the circle representing A, and all the elements in E are within the circle representing E. Since E is a superset of A, the circle representing E is larger and contains the circle representing A entirely. This visually represents the fact that E contains all the elements of A and may have additional elements.

< b="" />Conclusion< b="" />
In conclusion, the union E = A means that E is a superset of A, and it contains all the elements of A. However, E may also have additional elements that are not in A. This concept is important in understanding the relationship between sets and their unions. Understanding the union of sets and the concept of superset is crucial in various mathematical and logical operations.