Subset: a set contained in a set
Two weeks ago, we have talked about the basics of sets. In this post, we are going to talk about subsets.
In mathematics, if and
are sets, we say that
is a subset of
, denoted by
, if all elements of
are
also elements of
. The easiest way to illustrate this is through a Venn diagram as shown on the right. In the Venn diagram, set
is within set
. Therefore, all elements of set
are also elements of
.
Example 1
Let be set of all letters in the English alphabet and
be the set of vowel letters. It is clear that
since {a, e, i, o, u} are elements
and also are elements of
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