## 1.4 Finite and Infinite Sets

__1.4 Finite and Infinite Sets__

** Finite Set :- **A set which is

**empty**or consists of a

**definite number of elements**is called

*finite set.*

__Infinite Set :-__* *A set which consists of __infinite number of elements__ is called

*infinite set*.Set | Finite or Infinite Set |
---|---|

W = set of the days of the week | Finite (as number of days in a week are finite, seven) |

S = set of solutions of the equation x^{2} –16 =
0 |
Finite (as number of solutions are finite, two = degree of the equation.) |

G = set of points on a line | Infinite Set ( as the number of points on a line are infinite) |

__Note__:-**is represented in the**

*infinite set***by**

*roster form***which clearly indicate the structure of the set**

*writing a few elements***.**

*followed (or preceded) by three dots*

__Examples of infinite set :-__{1, 2, 3 . . .} is the

*set of natural numbers*

{1, 3, 5, 7, . . .} is the

*set of odd natural numbers*

{. . .,–3, –2, –1, 0,1, 2 ,3, . . .}

__is the set of integers.__

Last modified: Friday, 24 June 2022, 8:46 PM