Superset Example
Let Y = {21, 22, 23, 24, 25, 26} and X = {21, 22, 23, 25, 26}
In the two sets above, every element of X is also an element of Y, and the number of elements of X is smaller than the number of elements of Y.
In other words, n(x) = 4 and n(Y) = 6
⇒ n(x) < n(Y)
As a result, Y is the superset of X.
Other, than this example we can give all the general sets as as supersets of each other as follows:
N ⊃ W ⊃ Z ⊃ Q ⊃ R ⊃ C
Where,
- N is the set of Natural Numbers,
- W is the set of Whole Numbers,
- Z is the set of Integers,
- Q is the set of Rational Numbers,
- R is the set of Real Numbers, and
- C is the set of Complex Numbers.
Learn more about Subset of Real Numbers.
What is Superset?
Superset is one of the not-so-common topics in the set theory, as this is not used as much as its related term i.e., Subset. A superset is a set that contains all of the items of another set, known as the subset. We know that if B is contained within A which means A contains B. In other words, if B is a subset of A, then A is its superset.
In this article, the concept of superset is discussed in plenty of detail. Other than that, its definition, symbols, properties, and several solved examples as well.