DISJOINT SETS

Two sets A and B are said to be disjoint if they do not have common elements.

In other words, if A∩B  =  , then A and B are said to be disjoint sets.

Example :

Verify whether the following two sets are disjoint sets. 

A  =  {20, 22, 23, 24}

B  =  {25, 30, 40, 45}

Solution : 

A  =  {20,22, 23, 24} , B  =  {25, 30, 40, 45}

A∩B  =  {20,22, 23, 24} ∩ {25, 30, 40, 45}

A∩B  =  {  }

Since A∩B  =  ∅, A and B are disjoint sets.

Note : 

If A∩B  ≠  ∅, then A and B are said to be overlapping sets .Thus if two sets have at least one common element, they are called overlapping sets.

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