Set Notation
Pronunciation: /sɛt noʊˈteɪ.ʃən/ Explain
Set notation is a way to state what is in a
set.
Usually the set is named with a capital letter like this:
A = {set definition} The definition of the set
is inside of curly brackets: {}. There are
two styles of set definition that can be in curly brackets.
- List: If a set has just a few elements, the set can be defined by
listing all of the elements: B = { book, pencil,
eraser } In this definition, the set B
has three elements: book, pencil, and eraser.
- Rule: A set can be defined by a rule. While this rule can simply be
a sentence such as {The set of all rocks in my yard}, math
symbols are typically used:
C = { x | x ∈
ℕ, x < 20 }
Set C contains all the natural numbers less than 20.
References
- McAdams, David E.. All Math Words Dictionary, set notation. 2nd Classroom edition 20150108-4799968. pg 163. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Gilbert, Jimmie; and Gilbert Linda. Elements of Modern Algebra. 6th edition. pg 2. Thomson, Brooks/Cole. 2005. Buy the book
More Information
- Stapel, Elizabeth. Set Notation. Purplemath. 3/12/2009. http://www.purplemath.com/modules/setnotn.htm.
Cite this article as:
McAdams, David E. Set Notation. 5/7/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/s/setnotation.html.
Revision History
5/7/2019: Changed equations and expressions to new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
12/6/2018: Removed broken links, updated license, implemented new markup. (
McAdams, David E.)
9/6/2008: Initial version. (
McAdams, David E.)