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.
Examples
(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.
