introduction to set theory

Introduction - This chapter takes us much further and adds to our already existing knowledge about Ratio and Proportion. We will have to use many of the algebraic manipulations learnt earlier, use them with expertise to solve problems in this chapte..

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 ..

In plane geometry, the universal set consists of all points in a plan..

Introduction - If m is a positive integer, a x a x a . m times is written as a m . a is called the base and m is the power. We read it as "a raised to the power m". The power is also called "the index" or "the exponent..

The union of the set of rational numbers and irrational numbers forms the set of real numbers. (i) For every real number, there is a corresponding point on the number line. (ii) For every point on the number line, there exists a real numbe..

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, ..

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..

Question: List the elements of the following sets and specify whether they are finite or infinite: Answer: (i) Since there is no natural number lying between 2 and 3, the set is a null set i.e. f . This is a finite set. (i) Since there ar..

A = {3, 4, 5, 6}, B = {6, 4, 3, 5} A = B Elements in both sets need not be of same orde..