REVIEW & PREREQUISITE TOPIC
I) Basic Concepts of Set Theory: (Terminologies)
A) Set:
A set is a collection of objects. The objects belonging to the set are called elements, or
members of the set
B) Union of Sets:
The union of sets A and B , written A B , is the set of all elements belonging to
either of the sets.
C) Intersection of Sets:
The intersection of sets A and B , written A B , is the set of elements common to
both A and B
D) Complement of Sets:
For any set A within the universal set U , the complement of A , written A ' , is the set
of elements of U that are not elements of A
E) Difference of Sets:
To subtract set B from set A , the solution is all elements of set A which are not in set
B
EXAMPLE:
Suppose the following are defined as
The Universal set U : U = a, b, c, d , e, f , g , h, i, j , k
Set A : A = a, b, e, f
Set B : B = b, d , e, g , h
Set C : C = a, e, f , i, j , k
Use the sets defined above to find each of the following:
1) A B
2) A B
3) A'
4) B'
I) Basic Concepts of Set Theory: (Terminologies)
A) Set:
A set is a collection of objects. The objects belonging to the set are called elements, or
members of the set
B) Union of Sets:
The union of sets A and B , written A B , is the set of all elements belonging to
either of the sets.
C) Intersection of Sets:
The intersection of sets A and B , written A B , is the set of elements common to
both A and B
D) Complement of Sets:
For any set A within the universal set U , the complement of A , written A ' , is the set
of elements of U that are not elements of A
E) Difference of Sets:
To subtract set B from set A , the solution is all elements of set A which are not in set
B
EXAMPLE:
Suppose the following are defined as
The Universal set U : U = a, b, c, d , e, f , g , h, i, j , k
Set A : A = a, b, e, f
Set B : B = b, d , e, g , h
Set C : C = a, e, f , i, j , k
Use the sets defined above to find each of the following:
1) A B
2) A B
3) A'
4) B'