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Shading Venn Diagrams

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More lessons on Sets & Venn Diagrams

What is a Venn Diagram?
A Venn Diagram is a pictorial representation of the relationships between sets.
In this lesson, 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.

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

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

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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