Disjoint Sets – Overlapping Sets

 Definition: 

Two are more sets are said to be ‘Disjoint sets’, if they have no common elements. or Disjoint sets are sets, whose Intersection is the empty set.

Disjoint sets are also known as Non Overlapping sets.

                  Let A and B are two sets,

            Let A = {1, 2, 3, 4},  B = {5, 6, 7, 8}

 Intersection of set A and set B, is empty set.

A∩B = ∅

           Then A and B are called empty sets.

Then sets A and B are said to be Disjoint sets, because they have no common elements.

Venn diagram

If two sets are represented by two circles which are not intersecting with each other, then these sets are called the disjoint sets. 

       A and B are disjoint sets, in Venn diagram

               Set A, and B are disjoint sets.

                 Set A, B and C are disjoint sets.

                        Overlapping Sets

If two sets have at least one common element are said to be Overlapping Sets.

Example- Let A = {1, 2, 3, 4} and  B = {3, 6, 7, 8}

Here A and B one common element that is 3, so A and B are overlapping sets.

 If two sets are represented by two circles which are intersecting with each other, then these sets are called the overlapping or joint sets.