What is Universal Set – Definition and Examples

Here you will learn what is universal set with examples.

Let’s begin –

What is Universal Set ?

Definition : In set theory, there always happens to be a set that contains all sets under consideration i.e. it is a superset of each of the given sets. Such a set is called universal set and is denoted by U (capital U).

Thus, a set that contains all sets in a given context is called a universal set.


(i) When we study two dimensional coordinate geometry, then set of all points in xy-plane in the universal set.

(ii) When we using sets containing natural numbers, then N is the universal set.

(iii) If A = {1, 2, 3}, B = {2, 4, 5, 6} and C = {1, 3, 5, 7}, then U = {1, 2, 3, 4, 5, 6, 7} can be taken as a universal set.

(iv) When we are using intervals on real line, the set R of real numbers is taken as the universal set.

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