# Venn diagram notes

- Created by: sebastian parsons
- Created on: 14-05-13 12:35

First 240 words of the document:

The following examples should help you understand the notation, terminology, and concepts related to

Venn diagrams and set notation.

Let's say that our universe contains the numbers 1, 2, 3, and 4. Let A be the set containing the

numbers 1 and 2 that is, A = {1, 2}. (Warning: The curly braces are the customary notation for sets.

Do not use parentheses or square brackets.) Let B be the set containing the numbers 2 and 3 that

is,B = {2, 3}. Then we have the following relationships, with pinkish shading marking the solution

"regions" in the Venn diagrams:

set

pronunciation meaning Venn diagram answer

notation

everything

A U B "A union B" that is in {1, 2, 3}

either of the sets

A ^ B only the things

or "A intersect B" that are in {2}

both of the sets

c

A everything

or

"A complement", in the universe {3, 4}

or "not A"

~A outside of A

everything in A

"A minus B", or

A B except for anything {1}

"A complement B"

in its overlap with B

everything

~(A U B) "not (A union B)" outside {4}

A and B

~(A ^ B) everything outside

or "not (A intersect B)" of the overlap {1, 3, 4}

~( ) of A and B

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