Wetzel

Math 155

2.3 – Venn Diagrams and Set Operations

 

Venn Diagrams –

 

            Universal Set, U – all the elements being considered in a problem or example.

 

            Relationships

 

                        1.  Disjoint Sets:  Two sets with no elements in common.

 

 

 

 

 

                        2.  Proper Subsets: 

 

 

 

 

 

                        3.  Equal Sets:  A = B

 

 

 

 

 

                        4.  Sets with common elements:  Set A and set B have at least one element in common.

 

 

 

 

            Complement of a set

 

                        The complement of set A is the set of all elements in the universal set, but not in set A.

 

                        written

 

                        Ex.:  p.76 #5 - 16

 

 

 

 

 

 

            Intersection

                       

                        the set of all elements in both set A and set B is called the intersection.

 

                        written

           

 

 

            Union –

 

                        the set of all elements in set A or set B is called the union.

 

                        written

 

                        Ex.:  p.76 #17 – 92

 

 

 

HW:  p.76 #5 – 39odd, 67-77odd