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SETS

SET A  Set  is a well-defined collection of objects or elements or members. SOME SETS WHICH ARE USED PARTICULARLY IN MATHEMATICS 1.         N: the set of all natural numbers. 2.         Z: the set of all integers. 3.         Q: the set of all rational numbers. 4.         R: the set of all real numbers. 5.         Z + : the set of positive integers. 6.         Q + : the set of positive rational numbers 7.         R + : the set of positive real numbers. WAYS TO REPRESENT A SET 1.         Roster or Tabular form : In roster or tabular form all the elements of the sets are written being separated by comma. For example, N = {1, 2, 3, 4, 5, 6, 7, 8, 9, …………}. 2.         Set-Builder form : All the elements of a set possess a particular property(s). This property(s) is used to tell about a particular property. For example, N = {x: x is a natural number}. This is read as ‘the set of x such that x is a natural number’. Here colon is read as ‘such that and brasses as