Contain (Set)
Pronunciation: /kənˈteɪn/ ?
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. (Accessed: 20100105). http://www.merriamwebster.com/dictionary/contain.
 Gilbert, Jimmie; and Gilbert Linda. Elements of Modern Algebra, 6th edition, pp 13. Thomson, Brooks/Cole, 2005.
 Potter, Michael. Set Theory and Its Philosophy: A Critical Introduction , pg 31. Oxford University Press, USA, March 11, 2004.
More Information
 McAdams, David. Contain (Geometry). allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 20100120. http://www.allmathwords.org/article.aspx?lang=en&id=Contain.
Printed Resources
Cite this article as:
Contain (Set). 20100105. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/contain_set.html.
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20100120: Added "References" (
McAdams, David.)
20080709: Corrected math error (
McAdams, David.)
20080325: Changed More Information to current standard. Changed equation from image to text (
McAdams, David.)
20070712: Initial version (
McAdams, David.)