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