Contain (Set)
Pronunciation: /kənˈteɪn/ Explain
A
set
contains another set if all the members of the contained set are also members
of the containing set.^{[1]} If set A contains set
B we can also say the set B
is a subset of set A, and write
B ⊂ A.
Example 1

Figure 1: Set A contains set B. 
Example 2
The set of
real numbers
contains the set of
integers
because every integer is also a real number.
References
 contain. merriamwebster.com. Encyclopedia Britannica. MerriamWebster. Last Accessed 8/6/2018. http://www.merriamwebster.com/dictionary/contain.
 Gilbert, Jimmie; and Gilbert Linda. Elements of Modern Algebra. 6th edition. pp 13. Thomson, Brooks/Cole. 2005. Buy the book
 Potter, Michael. Set Theory and Its Philosophy: A Critical Introduction. pg 31. Oxford University Press, USA. March 11, 2004. Buy the book
Cite this article as:
McAdams, David E. Contain (Set). 6/29/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/contain_set.html.
Image Credits
Revision History
6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (
McAdams, David E.)
1/20/2010: Added "References". (
McAdams, David E.)
7/9/2008: Corrected math error. (
McAdams, David E.)
3/25/2008: Changed More Information to current standard. Changed equation from image to text (
McAdams, David E.)
7/12/2007: Initial version. (
McAdams, David E.)