Venn diagram (original) (raw)

Note: Currently, overlapping do not seem to be showing up properly in html mode. Therefore, this entry is best viewed using page mode.

A Venn diagramMathworldPlanetmath is a visual tool used in describing how two or more sets are logically related to one another. The simplest example is a Venn diagram for two sets. Each set is represented by a planar region bounded by a circle, so that the two regions overlap. In the diagram below, set A is represented by the reddish circular disc and set B is represented by the bluish circular disc:

AA∩BB..

Typically, the two sets are subsets of some bigger set U, called a universePlanetmathPlanetmath. Therefore, the corresponding Venn diagram above is shown to be sitting inside a larger rectangular region representing the universe:

2134U..

Notice that the region representing the universe U is partitioned into 4 mutually exclusive regions: