Love the LORD your GOD with all your heart, with all your soul, with all your mind, and with all your strength. Love your neighbor as yourself. - Mark 12: 30 - 31
The Joy of a Teacher is the Success of his Students. - Samuel Dominic Chukwuemeka
Set Algebra Calculators
I greet you this day,
First: read the notes. Second: view the videos. Third: solve the questions/solved examples.
Fourth: check your solutions with my thoroughly-explained solutions. Fifth: check your answers with the calculators as applicable.
I wrote the codes for the Venn Diagram calculations using Javascript, a client-side scripting language.
I used the AJAX Javascript library for the set operations. The Wolfram Alpha widgets (many thanks to the developers) was used for the Venn Diagram Generator. Please use the latest Internet browsers. The calculators should work.
Comments, ideas, areas of improvement, questions, and constructive criticisms are welcome. You may contact me.
If you are my student, please do not contact me here. Contact me via the school's system.
Thank you for visiting!!!
Samuel Dominic Chukwuemeka (Samdom For Peace) B.Eng., A.A.T, M.Ed., M.S
Union of Sets
Given: two sets, say A and B
To determine: the union of set A and set B, cardinality of the union
Intersection of Sets
Given: two sets, say A and B
To determine: the intersection of set A and set B, cardinality of the intersection
Complement of a Set
Given: the Universal set and a set, say A
To determine: the complement of set A, cardinality of the complement
Power Set of a Set
Given: a set, say A
To determine: the power set of set A, cardinality of the power set
Difference of Sets
Given: two sets, say A and B
To determine: the difference of set A and set B, cardinality of the difference
Symmetric Difference of Sets
Given: two sets, say A and B
To determine: the symmetric difference of set A and set B, cardinality of the symmetric difference
Cartesian Product of Sets
Given: two sets, say A and B
To determine: the Cartesian product of set A and set B, cardinality of the Cartesian product
This calculator/generator will:
(1.) Generate Venn Diagrams.
(2.) Shade the region represented by the set.
To use the Venn Diagram generator, please:
(1.) Type the set in the textbox (the bigger textbox).
(2.) Type it according to the examples I listed.
(3.) Delete the "default" expression in the textbox of the calculator.
(4.) Copy and paste the expression you typed, into the small textbox of the calculator.
(5.) Click the "Submit" button.
(6.) Check to make sure that it is the correct set you typed.
(7.) Review the answer (Venn Diagram).
Using the Venn Diagram Generator
Type: A ∪ B as A Union B
Type: A ∩ B as A Intersect B
Type: A^{c} ∩ B as Complement A Intersect B
Type: A ∩ B^{c}as A Intersect Complement B
Type: A^{c} ∪ B as Complement A Union B
Type: A ∪ B^{c}as A Union Complement B
Type: (A ∪ B)^{c}as Complement(A Union B)
Type: (A ∩ B)^{c}as Complement(A Intersect B)
Type: (A^{c} ∪ B)^{c}as Complement(Complement A Union B)
Type: (A ∪ B^{c})^{c}as Complement(A Union Complement B)
Type: (A^{c} ∩ B)^{c}as Complement(Complement A Intersect B)
Type: (A ∩ B^{c})^{c}as Complement(A Intersect Complement B)
Type: A ∪ B ∪ C as A Union B Union C
Type: A ∩ B ∩ C as A Intersect B Intersect C
Type: (A ∪ B ∪ C)^{c}as Complement(A Union B Union C)
Type: (A ∩ B ∩ C)^{c}as Complement(A Intersect B Intersect C)
Type: (A ∪ B ∩ C)^{c}as Complement(A Union B Intersect C)
Type: (A ∩ B ∪ C)^{c}as Complement(A Intersect B Union C)
Type: A^{c} ∪ B ∪ C^{c}as Complement A Union B Union Complement C
Type: A^{c} ∩ B ∩ C^{c}as Complement A Intersect B Intersect Complement C
Type: (A ∪ C)^{c} ∩ B^{c}as Complement(A Union C) Intersect Complement B
Type: A ∩ (C^{c} ∪ B) as A Intersect (Complement C Union B)
Type: A^{c} ∩ (B^{c} ∩ C^{c})^{c}as Complement A Intersect Complement(Complement B Intersect Complement C)
Type: [(A^{c} ∩ B) ∪ C^{c}]^{c}as Complement((Complement A Intersect B) Union Complement C)