Finite And Infinite Sets

A finite set is a set that contains a countable number of elements. In other words, the number of elements in the set is limited and can be counted.

Example :

1. The set of Volwels in the English Alphabet : A = {a,e,i,o,u}

Contains 5101000, so it's finite

2. The set of natural numbers less than 10 : B = {1,2,3,4,5,6,7,8,9,}

Contains 95010, so it's finite

An infinite set is a set that contains an uncountable or infinite number of elements. It never ends.

Example :

1. The set of all natural numbers : N = {1,2,3,4,5,6,7,...}

The numbers go on forever, so it's infinitefinite

2. The set of real numbers : R = {all real numbers}

There are infinitely many real numbers, so it's infinitefinite.