draw set venn diagram
You asked:
What is a Venn Diagram?
MathBot Answer:
What Is a Venn Diagram?
A Venn diagram is a type of diagram that illustrates the relationships between two or more sets, where the sets in the diagram are typically represented as overlapping circles or other shapes.
How Can I Draw a Venn Diagram?
You can use alphabetic characters, like $A$, $B$, $X$, or $Y$, to specify some abstract set. Mathbot does not currently support drawing Venn diagrams for concrete sets, but support for this is planned in the future.
You can represent a set expression, such as an intersection between two sets $A$ and $B$, as $A \cap B$.
$\cap$ is the intersection operator, and $A$ and $B$ are the operands.
Mathbot supports the following operators for Venn diagrams:
| Operator Name | Example | Description |
|---|---|---|
| Union | $A ∪ B$ | Elements in either A or B, or in both |
| Intersection | $A ∩ B$ | Elements in both A and B |
| Unary Complement | $A'$ | Elements not in A |
| Binary Complement | $A - B$ | Elements in A, but not in B |
| Symmetric Difference | $A Δ B$ | Elements in either A or B, but not in both |
$A \cap B$ produces the below diagram, with shaded portions corresponding to the elements in each set that are
in the evaluated expression.
You can see that the shaded area consists of all elements that are in
both $A$
and $B$.
Mathbot currently supports drawing Venn diagrams for set expressions with up to four distinct abstract sets.
An expression can have many different operators in it - when in doubt, use parentheses to enforce your desired order
of operations.