math set theory logic

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

Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..

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, Consecut..

A set A is said to be a proper subset of B if B contains at least one element, which is not in..

This method is also known as tabular method. In this method, a set is represented by listing all the elements of the set, the elements being separated by commas and are enclosed within flower brackets {..

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..

Prove that Null Set is the subset of every set 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. The null set f is a subset of every set, ..

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