# Introduction to Set theory

A **Set **is an unordered collection of objects, known as elements or members of the set.

An element ‘a’ belong to a set A can be written as ‘a ∈ A’, ‘a ∉ A’ denotes that a is not an element of the set A.

### Representation of a set

Three common methods used for representing set:

1. Statement form: In this representation, the well-defined description of the elements of the set is given. Example:

i. The set of all even number less than 10.

ii. The set of the number less than 10 and more than 1

2. Roaster form or tabular form method: In this representation, elements are listed within the pair of brackets {} and are separated by commas.

for example: N={1,2,3,4,5}

3. Set Builder method. In Set-builder set is described by a property that its member must satisfy.

for example: {x : x is natural number less than 10}.

**Equal sets**

Two sets are said to be equal if both have same elements. For example A = {1, 3, 9, 7} and B = {3, 1, 7, 9} are equal sets.

**Subset**

A set A is said to be **subset **of another set B if and only if every element of set A is also a part of other set B.

Denoted by ‘**⊆**‘.

‘A ⊆ B ‘ denotes A is a subset of B.

‘U’ denotes the universal set.

Above Venn Diagram shows that A is a subset of B.

*Read more..*

#probyto #probytoai #datascience #machinelearning #python #artificialintelligence #ai #dataanalytics #data #bigdata #deeplearning #programming #datascientist #technology #coding #datavisualization #computerscience #pythonprogramming #analytics #tech #dataanalysis #iot #programmer #statistics #developer #ml #business #innovation #coder #dataanalyst

Subscribe and follow us for latest news in Data Science and Machine learning and stay updated!

Facebook: https://facebook.com/probyto

Twitter: https://twitter.com/probyto

LinkedIn: https://linkedin.com/company/probyto

Instagram: https://instagram.com/probyto