Universal Set Using Venn Diagram
These diagrams consist of rectangles and closed curves usually circles.
Universal set using venn diagram. How to fill in a venn diagram when the universal set is included. How to fill in a venn diagram when the universal set is included. The set of all elements being considered is called the universal set u and is represented by a rectangle. This relationship is shown in the venn diagram below.
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. What is a universal set and how it may be represented in a venn diagram set theory. Given a 1 2 5 6 and b 3 9 what is the relationship between these sets. The venn diagram is now complete.
Venn diagram with universal set and complement of a set all the numbers from the universal set are displayed somewhere within the rectangle or within one or both of the circles. You can use curly brackets to show a set of elements such as a 2 4 6 8 a venn diagram shows sets as circles inside a. Scroll down the page for more examples and solutions. The following diagrams show the set operations and venn diagrams for complement of a set disjoint sets subsets intersection and union of sets.
Universal set venn diagrams absolute complement intersection union and complement of sets examples with step by step solutions. A venn diagram begins with a box called our universal set which is denoted by the symbol ε epsilon. Now you can see all your ten best friends neatly sorted into what sport they play or not. Venn diagrams most of the relationships between sets can be represented by means of diagrams which are known asvenn diagrams.
The universal set is represented usually by a rectangle and its subsets by circles. The universal set contains everything we are interested in at that particular time. These must be placed outside of the circles within the rectangle as they aren t part of set a or set b but are part of the universal set. A and b have no elements in common.
In previous lessons we learned that a set is a group of objects and that venn diagrams can be used to illustrate both set relationships and logical relationships.