Write the following sets in roster form: | Class 11 Mathematics Chapter Sets, Sets NCERT Solutions

Welcome to the NCERT Solutions for Class 11 Mathematics - Chapter Sets. This page offers a step-by-step solution to the specific question from Exercise 1, Question 3: . With detailed answers and explanations for each chapter, students can strengthen their understanding and prepare confidently for exams. Ideal for CBSE and other board students, this resource will simplify your study experience.

Question 3: Write the following sets in roster form:
(i) A = {x: x is an integer and - 3 < x < 7}.
(ii) B = {x: x is a natural number less than 6}.
(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}
(iv) D = {x: x is a prime number which is divisor of 60}.
(v) E = The set of all letters in the word TRIGONOMETRY.
(vi) F = The set of all letters in the word BETTER.
Answer:

 (i) A = {xx is an integer and –3 < x < 7}

The elements of this set are –2, –1, 0, 1, 2, 3, 4, 5, and 6 only.

Therefore, the given set can be written in roster form as

A = {–2, –1, 0, 1, 2, 3, 4, 5, 6}

 

(ii) B = {xx is a natural number less than 6}

The elements of this set are 1, 2, 3, 4, and 5 only.

Therefore, the given set can be written in roster form as

B = {1, 2, 3, 4, 5}

 

(iii) C = {xx is a two-digit natural number such that the sum of its digits is 8}

The elements of this set are 17, 26, 35, 44, 53, 62, 71, and 80 only.

Therefore, this set can be written in roster form as

C = {17, 26, 35, 44, 53, 62, 71, 80}

 

(iv) D = {xx is a prime number which is a divisor of 60}

2 60
2 30
3 15
  5

∴60 = 2 × 2 × 3 × 5

The elements of this set are 2, 3, and 5 only.

Therefore, this set can be written in roster form as D = {2, 3, 5}.

 

(v) E = The set of all letters in the word TRIGONOMETRY

There are 12 letters in the word TRIGONOMETRY, out of which letters T, R, and O are repeated.

Therefore, this set can be written in roster form as

E = {T, R, I, G, O, N, M, E, Y}

 

(vi) F = The set of all letters in the word BETTER

There are 6 letters in the word BETTER, out of which letters E and T are repeated.

Therefore, this set can be written in roster form as

F = {B, E, T, R}


Study Tips for Answering NCERT Questions:

NCERT questions are designed to test your understanding of the concepts and theories discussed in the chapter. Here are some tips to help you answer NCERT questions effectively:

  • Read the question carefully and focus on the core concept being asked.
  • Reference examples and data from the chapter when answering questions about Sets.
  • Review previous year question papers to get an idea of how such questions may be framed in exams.
  • Practice answering questions within the time limit to improve your speed and accuracy.
  • Discuss your answers with your teachers or peers to get feedback and improve your understanding.

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Comments

  • Kuldee
  • Sep 26, 2019

Wonderful maths helper


  • shyamlal yadav
  • May 27, 2019

good


  • Rajoo Prajapati
  • May 19, 2019

Great explanation


  • T MAINA
  • May 13, 2019

Wonderful maths helper


  • Mehboob
  • Oct 21, 2018

What will be the answer for . Describe the set {x€N:x is a perfect square,10


  • sandeepbhairagond
  • Sep 17, 2018

Super interduce great


  • Angel mariya
  • Jun 27, 2018

Thanks for the help


  • Lalit baro
  • Jun 19, 2018

thanks


  • Akash Swarnakar
  • May 22, 2018

I also can't understand the third one


  • sri ram kumar
  • Apr 03, 2018

Thanks for help it is very nice site


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Welcome to the NCERT Solutions for Class 11 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 1 , Question 3: Write the following sets in roster form: (i) A = {x: x is an integer and - 3 < x < 7}. (ii) B = {x: ....