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

Question: 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.

Comments

  • Kuldee
  • 2019-09-26 13:18:11

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  • shyamlal yadav
  • 2019-05-27 22:49:18

good


  • Rajoo Prajapati
  • 2019-05-19 06:23:39

Great explanation


  • T MAINA
  • 2019-05-13 20:16:28

Wonderful maths helper


  • Mehboob
  • 2018-10-21 10:33:08

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


  • sandeepbhairagond
  • 2018-09-17 21:41:46

Super interduce great


  • Angel mariya
  • 2018-06-27 20:13:54

Thanks for the help


  • Lalit baro
  • 2018-06-19 07:07:29

thanks


  • Akash Swarnakar
  • 2018-05-22 20:56:12

I also can't understand the third one


  • sri ram kumar
  • 2018-04-03 21:15:32

Thanks for help it is very nice site


Comment(s) on this Question

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: ....