The union of two sets contains all elements that are in either set. The intersection of two sets contains only the elements that are in both sets. The complement of a set contains all elements that are not in the original set.
Sets & Set Operation
CMSC 56 | Discrete Mathematical Structure for Computer Science
September 11, 2018
Instructor: Allyn Joy D. Calcaben
College of Arts & Sciences
University of the Philippines Visayas
Sets & Set Operation
CMSC 56 | Discrete Mathematical Structure for Computer Science
September 11, 2018
Instructor: Allyn Joy D. Calcaben
College of Arts & Sciences
University of the Philippines Visayas
Know the basics on sets such as the methods of writing sets, the cardinality of a set, null and universal sets, equal and equivalents sets, and many more.
Sections Included:
1. Collection
2. Types of Collection
3. Sets
4. Commonly used Sets in Maths
5. Notation
6. Different Types of Sets
7. Venn Diagram
8. Operation on sets
9. Properties of Union of Sets
10. Properties of Intersection of Sets
11. Difference in Sets
12. Complement of Sets
13. Properties of Complement Sets
14. De Morgan’s Law
15. Inclusion Exclusion Principle
Know the basics on sets such as the methods of writing sets, the cardinality of a set, null and universal sets, equal and equivalents sets, and many more.
Sections Included:
1. Collection
2. Types of Collection
3. Sets
4. Commonly used Sets in Maths
5. Notation
6. Different Types of Sets
7. Venn Diagram
8. Operation on sets
9. Properties of Union of Sets
10. Properties of Intersection of Sets
11. Difference in Sets
12. Complement of Sets
13. Properties of Complement Sets
14. De Morgan’s Law
15. Inclusion Exclusion Principle
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time issue
Types of adjusting entries
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7.Choose Your Accounting System
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2. Union, Intersection, and Complement
The union of two sets contains all the elements contained in either set (or both sets).
The union is notated A ⋃ B.
For Example : A U B = {a, b, c} U { b, c, d}
AUB = {a, b, c, d}
The intersection of two sets contains only the elements that are in both sets.
The intersection is notated A ⋂ B.
For Example : A ⋂ B.= {a, b, c} U { b, c, d}
A ⋂ B. = { b, c}
The complement of a set A contains everything that is not in the set A.
The complement is notated A’, or Ac, or sometimes ~A.
For Example :A’ = U – A
A’ = {a, b, c, d, e} - { a, b, c}
A’ = { d, e}
3. Examples
Consider the sets:
A = {red, green, blue} B = {red, yellow, orange}
a) Find A ⋃ B
The union contains all the elements in either set: A ⋃ B = {red, green, blue,
yellow, orange}
Notice we only list red once.
b) Find A ⋂ B
The intersection contains all the elements in both sets: A ⋂ B = {red}