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