Subset Notation Venn Diagram

The set of all elements being considered is called the universal set u and is represented by a rectangle.

Subset notation venn diagram. Set notation is used. There is a special notation for this empty set. We can use words. Using a venn diagram we see a circle within a circle.

Now we can say b is a subset of k because every element in b is also in set k. This guide will walk you through the process of making a mathematical venn diagram explaining all the important symbols along the way. Let s say that our universe contains the numbers 1 2 3 and 4 so u 1 2 3 4 let a be the set containing the numbers 1 and 2. Venn diagrams are a useful tool in the world of statistics.

Once you have got to grips with these you will be able to arrange all sorts of groups and sets. The following diagrams show the set operations and venn diagrams for complement of a set disjoint sets subsets intersection and union of sets. The following examples should help you understand the notation terminology and concepts relating venn diagrams and set notation. There are three ways to describe a set.

A subset shows up as a circle within a circle in a venn diagram. Symbols save time and space when writing. In this notation the vertical bar means such that and the description can be interpreted as f is the set of all numbers n such that n is an integer in the range from 0 to 19 inclusive. A set is a collection of things usually numbers.

We can use set builder notation. In set builder notation the set is specified as a selection from a larger set determined by a condition involving the elements. For instance every set in a venn diagram is a subset of that diagram s universe. In the graphic below a and b are disjoint.

. Set subset union intersection element cardinality empty set natural real complex number set. We can list each element or member of a set inside curly brackets like this. Sets and venn diagrams 1 sets and venn diagrams.

That is disjoint sets have no overlap. Venn diagrams can be used to express the logical in the mathematical sense relationships between various sets. Venn diagrams can also demonstrate disjoint sets. Their intersection is empty.

We can make a list. Set symbols of set theory and probability with name and definition. Common symbols used in set theory. Venn diagrams represent mathematical sets.

There are more than 30 symbols used in set theory but only three you need to know to understand the basics.