Finite and Infinite sets

Finite Set

If the elements of a set can be counted, it is a finite set.

Example:

A is the set of natural numbers less than 6

A = {1, 2, 3, 4, 5}

Since, set A has 5 elements. So, elements can be counted.

Thus, set A is finite set.

Infinite Set

If the elements of a set cannot be counted, i.e. if elements are infinite, it is an infinite set.

Example:

B = Set of all natural numbers

B = {1, 2, 3, 4, 5, 6, 7, 8, 9, ……… }

Since we cannot count all the natural numbers,

Set B is infinite set.