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Definition: Disjoint Sets

Two sets are called disjoint if their intersection is empty. The Venn diagram (named after John Venn (1834-1923)), below illustrates two disjoint sets $A$ and $B:$

venn5

Examples

  1. The set of all mammals and the set of all reptiles are disjoint.
  2. The set of all mammals and the set of all reptiles are disjoint.

Mentioned in:

Definitions: 1
Solutions: 2

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References

Bibliography

  1. Reinhardt F., Soeder H.: "dtv-Atlas zur Mathematik", Deutsche Taschenbuch Verlag, 1994, 10th Edition
  2. Kohar, Richard: "Basic Discrete Mathematics, Logic, Set Theory & Probability", World Scientific, 2016