Pronunciation: /ˈsʌbˌsɛt/ ?
A is a subset of set
B, all members of set A
are also members of set B. We write
'A ⊆ B'. We can also say that set
If A is a subset of set B and
sets A and B are not
to each other, set A is a proper subset
of set B. We write 'A ⊂ B'.
|Figure 1: Set A is a subset of set B.|
Think of a bunch of sheep. All the sheep are animals. But, there are animals that are not sheep, such as dogs. So the set of sheep is a subset of the set of animals, but the set of animals is not
a subset of the set of sheep. The set of animals contains animals that are not
is also a
the set of integers is a subset of the set of real numbers.
- Goldrei, D.C.. Classic Set Theory: For Guided Independent Study, pg 4. Chapman & Hall Mathematics, July 1, 1996.
- Gilbert, Jimmie; and Gilbert Linda. Elements of Modern Algebra, 6th edition, pg 3. Thomson, Brooks/Cole, 2005.
- McAdams, David. Sets. Life is a Story Problem LLC. 2009-04-03. http://www.lifeisastoryproblem.org/algebra/sets.html.
Cite this article as:
Subset. 2008-06-07. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/subset.html.
2008-06-07: Corrected spelling (McAdams, David.
2008-03-28: Added proper subset (McAdams, David.
2007-07-31: Initial version (McAdams, David.