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Set Theory

 Definition of a Set. A collection of definite and distinct things is called set. For example: V = ( a, e, i, o, u) A set can be represented in three ways- 1.     By Words 2.     Tabular Method/Roster Method 3.     Set Builder Method/ Rule Method Question: Represent the set  V = ( a, e, i, o, u) in words. Ans. The set of vowels of English Alphabet. Question: Represent the set A = ( 2, 4, 6, 8, 10, 12, 14...............) Ans. The set of Even Natural Number. Question: Represent the following set in Tabular Method or Roster Method. i.     The set of Prime Number less than 20. ii.     The set of months in a year starting with the letter J Solution: i. A = (2, 3, 5, 7, 11, 13, 17, 19)                   ii. B = (January, June, July) Question: Represent the following set by Set Builder Method or Rule Method.                   ...