Sets

Law of Sets in Math

Sets in mathematics can be defined as a collection of well defined and distinct objects. The entities or objects contained by a Set are known as elements of set. We can represent Sets using capital letters. Example of Sets is A = {1, 2, 3, 4} where 'A' is the name of set and 1, 2, 3, and 4 are elements of set A. Now we will study Law of sets in Math.
There are diffe...Read More

Subsets

A Set is a well defined collection of the object, where each object is called an element of the set. A set is always represented in capital letter like A, B, C, etc. The elements in the set are usually represented by small letters like x, y, z. So we say let set A contains the element 2, 4, 6, 8, 10. So it is written as A= 2, 4, 6, 8, 10. The elements of any set are represented ...Read More

Power Sets

To understand power Sets, let us take a Set A = a, b, c.  We observe that this set ‘A’ has 3 elements, so three Subsets of the set ‘A’ can be a, b, and c. Moreover we can say that a set ‘A’ can also have a subset a, b, c which is called a proper subset of set ‘A’. Another important thing we must remember is null set, which is an empty subset of a set ‘A’. We conclude that if ...Read More

Cardinality

Any Set ‘S’ which has ‘n’ different elements for some natural number ‘n’, then ‘n’ is called the cardinality of set ‘S’. It is also called as size of set ‘S’ and here ‘S’ is a finite set. If we have any set S = 1, 2, 3 in this set we have 3 elements, so the cardinality of set ‘S’ is 3. Word cardinality of Sets means the basic members in the family. Here the family of set con...Read More

Special Sets

We say that the Sets of numbers which are used as the special names and symbols are called special sets. Some of the special sets are as follows:
1.     A Set of Natural Numbers: The set consisting of series of numbers 1, 2, 3, …..up to infinity  are called as special  set of  Natural numbers. It is represented by ‘N’.
2.     A set of whole numbers: The set consisting of ...Read More

Types of Sets

A collection of different objects or we can say entities is known as Sets but these objects must be distinct and well defined. Sets is one of the most important concepts of mathematics from which different concepts of mathematics have been derived. The objects or entities which are included in a Set are also called elements of that set. Sets are basically denoted by capita...Read More