Universal Set Venn Diagram
Or we could literally write this as u and then we write that little slash looking thing u slash a.
Universal set venn diagram. A universal set sometimes called the universe is the set of all items under consideration for a particular problem or situation. All the numbers from the universal set are displayed somewhere within the rectangle or within one or both of the circles. Scroll down the page for more examples and solutions. Sets are represented in a venn diagram by circles drawn inside a rectangle representing the universal set.
This is not the union symbol right over here. Universal set venn diagrams absolute complement intersection union and complement of sets examples with step by step solutions. Venn diagrams with complements unions and intersections. The overlapping region of two circles represents the intersection of the two sets.
We always need to be aware of the specific universal set used in any problem. We will let set u unless otherwise defined represent the universe in a given problem or situation. The set of all elements being considered is called the universal set u and is represented by a rectangle. The following diagrams show the set operations and venn diagrams for complement of a set disjoint sets subsets intersection and union of sets.
In our case the universal set is our ten best friends. Venn diagram with universal set and complement of a set. The universal set contains everything we are interested in at that particular time. Now you can see all your ten best friends neatly sorted into what sport they play or not.
How to fill in a venn diagram when the universal set is included. The set of all things in the universe that aren t in a we could also write as a universal set minus a. U alex blair casey drew erin francis glen hunter ira jade we can show the universal set in a venn diagram by putting a box around the whole thing. So how do we represent that in the venn diagram.
In this lesson we examined several examples of universal sets with venn diagrams. A venn diagram begins with a box called our universal set which is denoted by the symbol ε epsilon. What is a universal set and how it may be represented in a venn diagram set theory. Readings for session 5 continued universal set and venn diagrams.
The region outside the circle represents the complement of the set. Once again this is a capital u.