Sets - Chapter Summary

Sets

In our daily life, we have to deal with the collection of objects of one kind or the other.
Eg: 

• The collection of even natural numbers less than 12. (2,4,6,8,10)
• The collection of vowels in English alphabets. (a,e,i,o,u)
• The collection of well known mathematicians in the world might not be the same for everyone. So it is not a set.

Therefore we can just define set as - A set is a well-defined collection of objects.

Sets can be represented by two ways: 

• Roster or Tabular Form - All the elements of a set are listed separated by commas and are enclosed within braces { }.Elements are not repeated generally.  Examples: A={1,2,3,4,5} or B={5,10,15,....}     

• Set builder Form - In set-builder form, set is denoted by stating the properties that its members satisfy.