Venn Diagram

Venn Diagram

Note

Venn diagrams are visual tools to illustrate sets, relations between sets, and operations performed on them.

Venn diagram, introduced by John Venn (1834-1883), uses circles (overlapping, intersecting and non-intersecting) to denote the relationship between sets. All of this is contained in a rectangle to denote the Universal set.

Terms Related to Venn Diagrams

The concept of the Venn diagram is very useful for solving a variety of problems in Mathematics and other areas. Let’s learn some important terms related to it.

Sets

A set is a collection of well defined mathematical objects.

$A=\{1,2,3,4,5,6,7\}$

Sets are shown with their elements inside curly braces, or just their variable name inside the circle.

Universal Set

The Universal Set is a large set that contains all the sets we are considering in a particular situation.

Subset

A subset is a set whose elements are all contained inside another set.

Complement of a Set

The complement of a set means all the elements in the Universal set that are NOT in the set.

$A^c$ represents the complement of A.

$n(A^c)=n(U)-n(A)$

Related posts

Why-Sets set-representation

---

These notes are for understanding concepts only and are not a replacement for your textbook or school classes.