Set And Subset Venn Diagrams
Circles or ovals are used to represent other subsets of the universal set.
Set and subset venn diagrams. A set is a collection of things. Sets and venn diagrams sets. These include hat shirt jacket pants and so on. If the quality is lacking i apologize.
Venn diagrams in different situations if a set a is a subset of set b then the circle representing set a is drawn inside the circle representing set b. X є n is a countable infinite set whereas b x. Basics of set theory with venn diagrams. Venn diagrams can be used to express the logical in the mathematical sense relationships between various sets.
If set a and set b have some elements in common then to represent them we draw two circles. For ex a x. And if they are o. For example the items you wear is a set.
Before we get into venn diagrams let s review sets. The set of all elements being considered is called the universal set u and is represented by a rectangle. All the elements of set b are. These are videos i make during our class lectures so that my students will have access at any time.
Definition of venn diagrams. As you can see above a subset is a set which is entirely contained within another set. Scroll down the page for more examples and solutions. For instance the picture below displays that a is a subset of b.
An element is a collection of anything numbers letters words objects. Now take a look at the following venn diagrams. A set b is subset of set s if the set b is contained in the set s i e. 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.
In this a rectangle is used to represent a universal set. Subset of a set. While venn diagrams are commonly used for set intersections unions and complements they can also be used to show subsets. You write sets inside curly brackets like this.
A set is a collection of elements. Venn diagrams are closed circles named after english logician robert venn used to represent relationships between sets. Using math symbols. The following examples should help you understand the notation terminology and concepts relating venn diagrams and set notation.
X є r is an uncountable infinite set.