Pronunciation: /ˈsʌbˌsɛt/ Explain
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
sets A and
B are not
to each other, set A is a
of set B. We write
'A ⊂ B'.
|Figure 1: Set A is a
subset of set B; A
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 sheep.
Since every integer
is also a real number,
the set of integers is a subset of the set of real numbers.
- McAdams, David E.. All Math Words Dictionary, subset. 2nd Classroom edition 20150108-4799968. pg 172. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Goldrei, D.C.. Classic Set Theory: For Guided Independent Study. pg 4. Chapman & Hall Mathematics. July 1, 1996. Buy the book
- Gilbert, Jimmie; and Gilbert Linda. Elements of Modern Algebra. 6th edition. pg 3. Thomson, Brooks/Cole. 2005. Buy the book
- McAdams, David E.. Sets. Life is a Story Problem LLC. 4/3/2009. http://www.lifeisastoryproblem.com/algebra/sets.html.
Cite this article as:
McAdams, David E. Subset. 5/7/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/subset.html.
5/7/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
12/10/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
8/7/2018: Changed vocabulary links to WORDLINK format. (McAdams, David E.)
6/7/2008: Corrected spelling. (McAdams, David E.)
3/28/2008: Added proper subset. (McAdams, David E.)
7/31/2007: Initial version. (McAdams, David E.)