Welcome
Welcome

If there is one prayer that you should pray/sing every day and every hour, it is the LORD's prayer (Our FATHER in Heaven prayer)
It is the most powerful prayer. A pure heart, a clean mind, and a clear conscience is necessary for it. - Samuel Dominic Chukwuemeka

For in GOD we live, and move, and have our being. - Acts 17:28

The Joy of a Teacher is the Success of his Students. - Samuel Dominic Chukwuemeka

Set Algebra Calculators

Samdom For Peace


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

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Intersection of Sets

Given: two sets, say A and B

To determine: the intersection of set A and set B, cardinality of the intersection

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Complement of a Set

Given: the Universal set and a set, say A

To determine: the complement of set A, cardinality of the complement

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Power Set of a Set

Given: a set, say A

To determine: the power set of set A, cardinality of the power set

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Difference of Sets

Given: two sets, say A and B

To determine: the difference of set A and set B, cardinality of the difference

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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

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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

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Venn Diagram Calculations for 2 Sets

Given: n(A), n(B), n(A ∪ B)

To calculate: other details


Given: n(A), n(B), n(A ∩ B)

To calculate: other details


Given: n(A), n(B), n(A ∪ B), n(μ)

To calculate: other details




Given: n(A), n(B), n(A ∩ B), n(μ)

To calculate: other details


Given: n(A), n(A ∪ B), n(A ∩ B)

To calculate: other details


Given: n(A), n(A ∩ B), n(μ)

To calculate: other details




Given: n(A), n(B), n(μ)

To calculate: other details


Given: n(A), n(B), n(A ∩ B), n(A ∩ B)c

To calculate: other details


Given: n(A), n(B), n(μ), n(A ∩ Bc)

To calculate: other details




Given: n(A), n(A ∩ Bc), n(B)

To calculate: other details


Given: n(A ∩ Bc), n(Ac ∩ B), n(A ∩ B), n(Ac ∩ Bc)

To calculate: other details


Given: n(A), n(B), n(A ∩ B)

To calculate: other details




Venn Diagram Calculations for 3 Sets

Given: n(A), n(B), n(C), n(A ∩ B), n(A ∩ C), n(B ∩ C), n(A ∩ B ∩ C)

To calculate: other details


Given: n(A), n(B), n(C), n(A ∩ B), n(A ∩ C), n(B ∩ C), n(A ∪ B ∪ C)

To calculate: other details


Given: n(A), n(B), n(C), n(A ∩ B), n(A ∩ C), n(B ∩ C), n(μ), n(A ∪ B ∪ C)c

To calculate: other details




Given: n(A ∩ Bc ∩ Cc), n(Ac ∩ B ∩ Cc), n(Ac ∩ Bc ∩ C), n(A ∩ B ∩ Cc), n(A ∩ Bc ∩ C), n(Ac ∩ B ∩ C), n(A ∩ B ∩ C), n(μ)

To calculate: other details


Given: n(A), n(B), n(C), n(A ∩ B), n(A ∩ C), n(B ∩ C), n(A ∩ B ∩ C), n(μ)

To calculate: other details


Given: n(A), n(B), n(C), n(A ∩ B), n(A ∩ C), n(B ∩ C), n(A ∩ B ∩ C), n(A ∪ B ∪ C)c

To calculate: other details


Given: n(A ∩ Bc ∩ Cc), n(Ac ∩ B ∩ Cc), n(Ac ∩ Bc ∩ C), n(A ∩ B ∩ Cc), n(A ∩ Bc ∩ C), n(Ac ∩ B ∩ C), n(A ∩ B ∩ C), n(Ac ∩ Bc ∩ Cc)

To calculate: other details


Given: $n(A \cap B \cap C)$, $n(A \cap B)$, $n(A \cap C)$, $n(B \cap C)$, $n(C)$, $n(A \cap C')$, $n(B \cap C')$, $n(A' \cap B \cap C')$
To calculate: other details




Venn Diagram Generator for Sets

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).

Type the set: