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.

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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.
The following figures show how to shade regions of Venn Diagrams for 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.

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

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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