E-Lecture - Definition of Types of Sets

Finite and Infinite sets

A set may have limited number of elements, or unlimited number of elements. For example, the set of natural numbers less than 5 has a limited number of elements, 1, 2, 3, and 4. The set of natural numbers greater than 5 has unlimited number of elements.

How many members does each set have?

  1. {a, e, i, o, u}.
  2. The set of even whole numbers less than 10.
  3. The set of natural numbers between 9 and 29.
  4. The set of odd natural numbers.
  5. The set of fractions between 0 and 1.

Definition

A finite set is a set that has a fixed or limited number of elements.
An infinite set is a set which is not finite