set theory

Set - A well-defined collection of distinct objects is called a set..

The set of whole numbers is the set of natural numbers along with zero. so W = the set of whole numbers = 0,1,2,3,............ so Zero is the least number of the set of Whole numbers. As the whole numbers is an infinite set we cant determine t..

Introduction - The sets of numbers which every student must remember are: The set of natural numbers, The set of whole numbers, The set of integers, The set of rational numbers, The set of irrational numbers, Set of Real Numbers,..

Difference of two sets A and B, A - B is a set whose elements belong to A but not to B. A - B is called the relative complement of B w.r.t. ..

If A is a set of all positive factors of 36, then in Set builder method it is written as A = {x : x is a factor of 36, x ..

The following are examples of an infinite set. Set of all points on a line segment of 2cm. Set of all similar triangles in a plane. Set of rational numbers between the integers 1 and 2 {x : x I and x > 2} {x: x is an even number..

Question: Express the following sets in set builder form. (i) Set A consists of the letters p, q, r, s and t (ii) Set C = {1,3,5,7,....} (iii) Set D = {8} Answer: ..

If A and B are any two sets then the relative complement of B in A is the set of all elements in A which are not in B. It is denoted by A - B..

A set of numbers arranged in a definite order according to some definite rule is called a sequenc..

Every set A is a subset of universal set U since, by definition all elements of A belong to U. Also the null set f A..