Proper Subset – Super Set – Singleton Set 

Definition:   

Proper Subset & Super Set

A and B are two sets. If A⊂B and A ≠ B, then A is called a ‘Proper Subset’ of B, and B is called ‘Super set’ of A.

Example: A = {a, b, c} and B = {a, b, c, d},

                In above example A⊂B and A ≠ B,

then A is called a proper subset of B, and B is called Super set of A.

Singleton Set

If a set has only one element is known as  ‘Singleton Set.’

Example:   A = {a}

In above set, set A has only one element a,
             Thus set A is called Singleton Set.