How to construct a superset of elements from a set of elements?
Answers
Answer:
We saw how we can compare and operate on sets in the previous sections. If we imagine a set like a dish the ingredients of which have come together like in some exotic dish, the question that comes to mind is that whether it is possible to take a scoop out of this dish or not? It is possible if we know what a subset is! Here we will describe these and other similar concepts. Let us begin!
Explanation:
Subset and Superset
Subset
Since a set is a well – defined collection of objects or elements grouped together within braces {}, it can also be disintegrated into smaller sets of its own called the subsets. Mathematically, a set A is referred to as the subset of another set B, if every element of set A is also an element of set B. Examples –
☈ Consider a set X such that X = {Set of all the people living in your city} then another set Y = {Set of your family members} will be a subset of X because each member of your family is also a resident of the city you live in. Every element of set Y is a part of numerous elements belonging to set X, thus Y is definitely a subset of set X.
☈ Let set E = {Set of all even numbers} and let set N = {Set of all natural numbers} then set E is a subset of set N.