Element (Set)
Pronunciation: /ˈɛl.ə.mənt/ Explain
Example 1:

Figure 1: a ∈ A 

Example 2:

Figure 2: x ∉ P 


An object is an element of a
set
if it belongs to that set.^{[3]} If object
a is an element of set A,
write a ∈ A. If object
x is not an element of set P, write
x ∉ P. A
member of
a set is the same thing as the element of a set.
Example 3
Let S be the set of all integers. Then:
 1 ∈ S since
1 is an integer;
 1.5 ∉ S since
1.5 is not an integer.

References
 McAdams, David E.. All Math Words Dictionary, element (set). 2nd Classroom edition 201501084799968. pg 68. Life is a Story Problem LLC. January 8, 2015. Buy the book
 element. merriamwebster.com. Encyclopedia Britannica. MerriamWebster. Last Accessed 7/9/2018. http://www.merriamwebster.com/dictionary/element. Buy the book
 Jech, Thomas. Set Theory. 3rd edition. Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, CSLI, Stanford University. Last Accessed 7/9/2018. http://plato.stanford.edu/entries/settheory/. Buy the book
 Goldrei, D.C.. Classic Set Theory: For Guided Independent Study. pg 3. Chapman & Hall Mathematics. July 1, 1996. Last Accessed 7/9/2018. Buy the book
 Gilbert, Jimmie; and Gilbert Linda. Elements of Modern Algebra. 6th edition. pp 110. Thomson, Brooks/Cole. 2005. Last Accessed 7/9/2018. Buy the book
More Information
 McAdams, David E.. Set. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 12/15/2009. http://www.allmathwords.org/en/s/set.html.
Cite this article as:
McAdams, David E. Element (Set). 4/20/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/e/element.html.
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Revision History
4/20/2019: Updated expressions and equations to match new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
7/5/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (
McAdams, David E.)
1/24/2010: Added "References". (
McAdams, David E.)
7/13/2008: Reorganized content for readability. Added example 3 (
McAdams, David E.)
6/7/2008: Corrected spelling. (
McAdams, David E.)
3/31/2008: Added member. (
McAdams, David E.)
3/24/2008: Change More Information and Cite to current standards. (
McAdams, David E.)
8/4/2007: Initial version. (
McAdams, David E.)