Question

(A) Write any $2$ sets by listing method and by rule method
(B) Write the following sets using the listing method
(i) All months in the Indian Solar Year
(ii) Letters in the word ‘COMPLEMENT’

Answer 1

Hint: Before solving the sum on sets, the student should be aware of the $2$ types of methods, I.e listing method, and rule method. The listing method is the method in which the members of the set are written as a list, separated by the comma and enclosed within the curly braces. Rule method in sets involves specifying the rule or a condition that can be used to decide whether an object can belong to the set.

Complete Step by Step Solution:
(A)
Consider the following Set by the listing method
3. C={$6,7,8,9$}
C={ $x|x$$ \in $N and $5 < x < 10$}
Consider the following set by Rule Method
4. D={$a,e,i,o,u$}
D= { $y|y$ is a vowel of English Alphabet}
(B)
i) All months in the Indian Solar Year
For this, it is essential that the student should have clarity on the name of the months in the Indian solar year.
With the help of the Listing method following is the set
A={ Caitra, Vaisakha, Jyaishta, Asadha, Sravana, Bhadra, Asvina, Kartika, Agrahayana, Pausa, Magha, Phalguna}
ii) Letters in the word ‘COMPLEMENT’
In this particular set, students should write the letters inside the set only once even though they are repeated.
B= {C, O, M, P, L, E, N, T}

Note:
When a student solves a sum which is from the chapter, he/she has to keep multiple things in mind. Whether it is to be solved by Listing Method or by Rule Method. Also, the students may be asked to identify the type of set, it is essential that the student knows all the types like Empty Set, Finite Set, Subset, Universal Set. Properties and formulae of sets like \[A \cup B,A \cap B\] should be learned by heart as they are very useful while solving sums on Venn diagrams.