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Shading Venn Diagrams

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More lessons on Sets & Venn Diagrams

In these lessons, we will learn how to shade required regions of a Venn Diagram. We will learn how to shade regions of two sets and three sets.

What is a Venn Diagram?
A Venn Diagram is a pictorial representation of the relationships between sets.

The following figures show how to shade regions of Venn Diagrams for two sets:
A intersect B, A union B, A', A intersect B', A' intersect B, A union B',
A' union B, A' union B' = (A intersect B)', A' intersect B' = (A union B)'.
Scroll down the page for more examples and solutions on how to shade Venn Diagrams to represent the required regions of two sets and three sets.

Shading Venn Diagrams

Venn Diagrams: Shading Regions for Two Sets

How to shade the union, intersection and complement of two sets?
1) A ∪ B'
2) A' ∩ B'
3) (A ∪ B)' Basic Venn Diagram Shading
1) A ∪ B
2) A ∩ B
3) A' ∪ B
4) A ∩ B'
5) A ∪ B ∪ C
6) A ∩ B ∩ C

Shading Venn Diagrams
1) A ∩ B
2) (A ∩ B)'
3) A ∪ B'
4) A ∩ B'
5) B'
6) (A ∪ B)'
7) A ∩ B = { }
8) A ∩ C
9) (A ∩ C) ∪ B
10) (A ∩ C) ∩ B' Venn Diagrams: Shading Regions with Three Sets

How to shade regions of Venn Diagrams involving three sets? Part 1 of 2.
1) (A ∩ B) ∩ C
2) (A ∪ B) ∩ C How to shade regions of Venn Diagrams involving three sets? Part 2 of 2.
3) (A ∪ B)' ∩ C
4) (A' ∩ B') ∩ C' Venn Diagram Shading Calculator or Solver
Enter an expression like (A Union B) Intersect (Complement C) to describe a combination of two or three sets and get the notation and Venn diagram. Use parentheses, Union, Intersection, and Complement

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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