Question

Write the following set using listing method
All months in the indian solar year.

Answer 1

In the given question, we are supposed to find all the months in the indian solar year using the listing method. We solve the given question by writing down all the months in the Indian solar year separated by commas and enclosed in braces to get the desired result.

Complete step by step answer:

We are asked to find all the months in the indian solar year using the listing method. We will be using the concept of set theory to solve the given question.
A set is a well-defined collection of objects. Sets can be finite or infinite.
For example:
A set of integers from 1 to 100 is finite.
A set of all the whole numbers is infinite.
A set can be represented using two methods given as follows,
a. Roster or tabular form: In the roster form, we list all the entities set within the braces and each entity is separated by a comma.
b. Set-builder form: In the set-builder form, we list the properties satisfied by all the entities of the given set.
According to our question,
Let the set of all the moths in the Indian solar year be A.
We need to write the set of all the months in the indian solar year using a listing method.
The entities of the above set are given as follows,
$\begin{aligned} & \Rightarrow Caitra,\text{ }Vaisakha,\text{ }Jyaistha,\text{ }Asadha,\text{ }Sravana,\text{ }Bhadra,\text{ }Asvina,\text{ }Kartika,\text{ }Agrahayana,\text{ }Pausa,\text{ } \\\ & Magha,\text{ }Phalguna \\\ \end{aligned}$
We need to enclose the entities of the set in braces and separate each entity from the other by a comma.
Following the same, we get,\begin{aligned} & \Rightarrow A=\left\\{ Caitra, \right.\text{ }Vaisakha,\text{ }Jyaistha,\text{ }Asadha,\text{ }Sravana,\text{ }Bhadra,\text{ }Asvina,\text{ }Kartika,\text{ }Agrahayana,\text{ } \\\ & Pausa,\text{ }Magha,\text{ }\left. Phalguna \right\\} \\\ \end{aligned}

Note: We must use uppercase letters to represent a set and lowercase letters to represent an entity in a set. We have to define our set clearly enough to say whether a given entity belongs to the set or not.