Question

Write the set of vowels of the English alphabet in roster form.

Answer 1

Hint:
Set is a collection or group of distinct objects or elements. Roster form is also called the listing method. In this form, the elements are listed within curly braces separated by commas.

Complete step by step solution:
We has to represent the set of vowels of the English Alphabet in roster form.
Set is the collection of the distinct object which can be represented in many methods like roster form or set notation form or verbal description. We can write the sets in roster form in following steps-
Identify the elements -To write in roster form first we have to identify all the elements of the set. Here the set is of vowels of English alphabets. We know that there are five vowels in the English alphabet. They are ‘a’, ’i’, ‘o’, ‘e’ and ‘u’.
List the elements- Now we will write all the elements within braces and separated by commas.
So we can write the set as-$\left\{ {a, e, i, o, u} \right\}$
It is not necessary to write them in order. We can also write-
$\left\{ {a, i, o, e, u} \right\}$ Or $\left\{ {e, i, o, u, a} \right\}$ or $\left\{ {i, o, a, u, e,} \right\}$ or $\left\{ {u, e, o, a, i} \right\}$
All the above expressions are correct because Sets are unordered so the elements within them can be written in any order.

Hence the set of vowels of English alphabet is$\left\{ {a, e, i, o, u} \right\}$

Note:
There are some limitations of notation in roster form-
If we have to describe an infinite set like the set of real numbers then we have no starting point or ending point so no way of listing elements which will create confusion or error. For example- if we write the set of positive integers-
$\left\{ {1,2,...} \right\}$
This can also be mistaken for the set of powers of two. This can create confusion. Hence when describing such a set, it is better to use another notation.