If there is one prayer that you should

- Samuel Dominic Chukwuemeka
**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.

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

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

__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)

Type the set: