9 What is a union? *
Venn Diagram
the elements in a set
the intersection of two or more sets
a set that contains all of the elements in the sets.
A union is a set that contains all of the elements in the sets being considered. It is represented by the symbol ∪. In set theory, the union of two or more sets is the collection of all distinct elements that are in any of the sets. It can also be visualized using a Venn diagram, where the union is represented by the overlapping or intersecting regions of the sets.
pick one
A union is a set that contains all of the elements in the sets being considered.
A union is a mathematical term that refers to the combination of two or more sets. It represents a set that contains all the elements present in any of the given sets.
To understand a union, you can think of it using a Venn diagram. A Venn diagram is a graphical representation of sets using overlapping circles. If we have two sets, let's say A and B, we can represent them with two circles. The elements in set A are placed in the circle representing A, and the elements in set B are placed in the circle representing B.
Now, the union of sets A and B is represented by the overlapping part of the two circles. This part contains all the elements that are present in either set A or set B, or in both. In other words, the union represents the combination of all the elements from both sets.
Another way to describe a union is by using the concept of the intersection of sets. The intersection of two sets represents the elements that are common to both sets. So, the union represents the combination of all the elements from both sets, including the elements in their intersection.
To find the union of two sets, you can list all the elements from both sets without repeating any elements. For example, if set A contains the elements {1, 2, 3} and set B contains the elements {3, 4, 5}, the union of A and B would be {1, 2, 3, 4, 5}.
In summary, a union is the combination of two or more sets, represented by a set that contains all the elements present in any of the given sets. It can be visualized using a Venn diagram or found by listing all the elements from both sets.