FINITE AND INFINITE SETS

A set having definite number of elements is called finite set. In other words, we can say that the number of elements of a set is defined called finite set.

A set which is not having definite number of elements is called infinite set.

Example:

  1. A = {1, 2, 3, 4, 5, ……………., 100}
  2. B = {1, 2, 3, 4, 5, …………………….}

Set A is finite set and set B is infinite set.

Cardinal Number: The number of element in a finite set is called cardinal numbers of a set.
Let A = {a, e, i, o, u}
Then n(A) = 5

Some more examples for your reference are given below:

  1. A = {x : x is a point on a straight line}
  2. B = {x : x is a month in a year}
  3. C = {x : x is a student of class XI in a school}
  4. D = {x : x is a line parallel to x – axis}
  5. E = {x : x is a prime number less than 99}
  6. F = {x : x is a set of circle passing through origin}
  7. G = {x : x is an integer}
  8. H = {x : x is a letter of English alphabet}

Here B, C, E and H are finite sets. But A, D, F and G are infinite sets.

Post Author: E-Maths