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