# What is a disjoint sets, definitions, and examples

Disjoint sets are sets whose intersections are empty. If no member of set Q belongs to another set P then the two sets are disjoint. In general disjoint sets do not intersect.

## How to find disjoint sets

Disjoint sets can be easily understood using examples. Let’s look at some examples under disjoint sets. If set A={1,3,5,7,9} and set B={2,4,6,8,10}. Set A and B are disjoint sets since they both do not have members in common.

If set Q={1,5,7} and P={4,6}, the intersection of set Q and P is empty i.e Q ∩ P =∅. Similarly, set A={3,7,9} and B={2,8,10} are disjoint sets since no member belongs to set A and B i.e A ∩ B = ∅.

Disjoint sets are said to be mutually exclusive. In the Venn diagram below set X and Y are disjoint sets since there is no Intersection for the two sets.

For a union of sets click here