Question

Describe the following set in set – builder form:
E = {0}

Answer 1

Set – builder form is a notation to write the elements of the set describing the properties of the members of the set. The given set contains 0 which is a least whole number.

Complete step-by-step answer:
The set given in the problem is:
E = {0}
The element in the set is a single element which is 0. And we know that 0 is the smallest (or first) whole number.
So, the set – builder form of the set E = {0} is:
{x: 0 which is the smallest whole number}
If we have to write a set – builder form of any set, first of all we should write a variable “x” then put a colon “:” then write the general term like 3n or 0 then write about what we have written after x and write the whole set – builder form in the curly brackets.
Hence, the set builder form of the given set is {x: 0 which is the smallest whole number}.

Note: The above set E = {0} given in the question is a singleton set. The singleton set is a set which contains exactly a single element.
If in some question, part of the question is given in set – builder form and the other part uses this information of set – builder so we need to know how to read a set – builder form.
The set – builder form of a given set is{x: 0 which is the smallest whole number}.
The reading of this set – builder form is pretty simple, the set contains only one element which is 0 and which can be confirmed from the description part of the set – builder form “which is the smallest whole number”.