In Venn Diagram Universal Set Is Represented By
The universal set is represented usually by a rectangle and its subsets by circles.
In venn diagram universal set is represented by. Now you can see all your ten best friends neatly sorted into what sport they play or not. Each individual set is represented mostly by a circle and enclosed within a quadrilateral the quadrilateral represents the finiteness of the venn diagram as well as the universal set labelling is done for each set with the set s name to indicate difference and the respective constituting elements of each set are written within the circles. For example if v vowels we could choose the universal set as e letters of the alphabet and all the letters of the alphabet would then need to be placed somewhere within the rectangle. The set of all elements being considered is called the universal set u and is represented by a rectangle.
Subsets of the universal set are represented in a venn diagram by what. In venn diagrams the elements of the sets are written in their respective circles figs 1 2 and 1 3 illustration 1 in fig 1 2 u 1 2 3 10 is the universal set of which a 2 4 6 8 10 is a subset. A venn diagram is constructed with a collection of simple closed curves drawn in a plane. The following diagrams show the set operations and venn diagrams for complement of a set disjoint sets subsets intersection and union of sets.
According to lewis the principle of these diagrams is that classes or sets be represented by regions in such relation to one another that all the possible logical relations of these classes can be indicated in the same diagram that is the diagram initially leaves room for any possible relation of the. Universal set venn diagrams absolute complement intersection union and complement of sets examples with step by step solutions. New set containing all elements of all sets being considered. Consider a universal set with two subsets a and b.
Scroll down the page for more examples and solutions. 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. We may represent this as a rectange containing the universal set with circles containing the elements of a and b. In a venn diagram the universal set is generally drawn as a large rectangle and then other sets are represented by circles within this rectangle.
In our case the universal set is our ten best friends. All the members of the universal set must be represented somewhere inside the rectangle in a venn diagram.