Sets and their connectors

 

1)                  ?Is an element of?()

If an object ?x? is a member of a set A or belongs to a set A, then we write.  If it is not a member we write

 

2)                  Finite / Infinite Set

M = {1, 2, 3} è Finite

N = {2, 4, 6 ?} è Infinite

P = {x | x is a river on Earth} è Finite

 

3)                  Equality of sets

Set A is equal to Set B if they both have the same members A = B

Example:          Which of the sets are equal?

                        E = {x | x2-3x = 2}

                        F = {2, 1}

                        G = {1, 2, 2, 1}

                        E = F = G

 

4)                  Empty or Null Set ()

This is where the set is empty or is undefined.

Example 1:       B = {x | x2 = 4, x is odd}

                        B =

Example 2:      

 

5)                  Subset

 

 

6)                  Universal Set

 

 

7)                  Disjoint Set

 

 

8)                  Set Operations with Venn Diagrams