{"id":9525,"date":"2022-01-16T00:23:00","date_gmt":"2022-01-15T18:53:00","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9525"},"modified":"2022-01-16T17:16:08","modified_gmt":"2022-01-16T11:46:08","slug":"what-is-universal-set-definition-examples","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-universal-set-definition-examples\/","title":{"rendered":"What is Universal Set – Definition and Examples"},"content":{"rendered":"
Here you will learn what is universal set with examples.<\/p>\n
Let’s begin –<\/p>\n
What is Universal Set ?<\/h2>\n
Definition<\/strong> : 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).<\/p>\n
Thus, a set that contains all sets in a given context is called a universal set.<\/p>\n
Examples<\/strong><\/span><\/h2>\n
(i) When we study two dimensional coordinate geometry, then set of all points in xy-plane in the universal set.<\/p>\n
(ii) When we using sets containing natural numbers, then N is the universal set.<\/p>\n
(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.<\/p>\n
(iv) When we are using intervals on real line, the set R of real numbers is taken as the universal set.<\/p>\n","protected":false},"excerpt":{"rendered":"
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 …<\/p>\n