# Solve Venn Diagram Problems

Venn Diagrams consist of closed shapes, generally circles, which represent sets.The capital letter outside the circle denotes the name of the set while the letters inside the circle denote the elements of the set.

There is normally an area at the center of a Venn diagram that is common to all parties.

As problems tend arise as a result of discord between life’s conflicting and disconnected elements, Venn diagrams can be applied to any number of situations.

This section defines the terms set, universal set and subset – three terms that are essential in understanding set theory.

A well-defined collection of objects is called a set. All elements of a set follow a certain rule and share a common property amongst them.

Hence, they are written outside both circles but within the universal set.

Any mathematician will tell you that the most elegant solutions are always the simplest ones.In practice, sets are generally represented by circles.The universal set is represented by a rectangle that encloses all other sets. The above figure is a representation of a Venn diagram.Longwinded explanations tend to indicate that a problem has yet to be fully resolved. Most life hacks are so sublimely simple, that you can’t figure out why no-one thought of them before.When confronted by life’s tricky challenges I regularly turn to a simple little bubble diagram, named after John Venn in 1918.A series of interconnecting circles, called sets, represent distinct groups.Commonalities between sets are listed in areas where these circles intersect.The various operations of sets are represented by partial or complete overlap of these closed figures.Regions of overlap represent elements that are shared by sets.For example, the teams of the countries who qualified for the Quarterfinals of the 2006 Football World Cup can constitute a set.There will be 8 members in this set and the rule that is common to them is that all of them are teams that have reached the quarterfinals of the 2006 Football World Cup.