Here you will learn what is set builder form and how to represent sets in set builder form with examples.<\/p>\n
Let’s begin –<\/p>\n
Definition<\/strong> : In this form, a set is described by a characterizing property P(x) of its elements x. In such a case the set is described by {x : P(x) holds} or, {x | P(x) holds}, which is read as ‘the set of all x such that P(x) holds’. The symbol ‘|’ or ‘:’ is read as ‘such that’.<\/p>\n In other words, in order to describe a set, a variable x (say) (to denote each element of the set) is written inside the braces and then after putting a colon the common property P(x) possessed by each element of the set is written within the braces.<\/p>\n