in this video we will learn to represent the set using set-builder form in set-builder form we use curly braces then describing the element of a set by a symbol say X which is followed by a colon we write the characteristic property possessed by the elements of the set we can also use a vertical bar in place of the colon let's represent set of all vowels in English alphabet using set-builder form donating the set by V and then describing each element by Y followed by a colon we write Y is a vowel in English alphabet which is the characteristic property of each alphabet of this set here the braces stand for the set of all and the colon stands for such that therefore the above description of the set V is read as the set of all Y such that Y is a vowel in English alphabet similarly the description of a set a represented in set-builder form as shown is read as the set of all Z such that Z is a natural number and Z lies between 1 and 4 therefore the elements of set a are 2 and 3 they're going to be more than one set builder form of a set for example the set of squares of all natural numbers can be represented simply like this or we can represent it in another way by writing the characteristic property as x equals n Square where n belongs to natural number
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