Question

Question 1 Which of the following are sets? Justify our answer.

(i) The collection of all months of a year beginning with the letter J.

(ii) The collection of ten most talented writers of India.

(iii) A team of eleven best-cricket batsmen of the world.

(iv) The collection of all boys in your class.

(v) The collection of all natural numbers less than 100.

(vi) A collection of novels written by the writer Munshi Prem Chand.

(vii) The collection of all even integers.

(viii) The collection of questions in this Chapter.

(ix) A collection of most dangerous animals of the world.

Class XI - Sets Page 4

Answer 1

1) The collection of all months of a year beginning with J :{January, June, July}
It is well defined and hence it forms a set.

2)The collection of ten most talented writers in India is not a set because different people have different opinions . so it is not a set .

3)A team of eleven best-cricket batmen of the world is not well defined because opinion about ‘best-cricket batsmen’ vary from person to person and hence it does not form a set.

4) The collection of all boys in your class is well defined and hence it forms a set.

5) The collection of all natural numbers less than 100 is {1, 2, 3, ……., 99} which is well defined and hence it forms a set.

6) A collection of novels written by the writer Munshi Prem Chand is well defined and hence it forms a set.

7) The collection of all integers is a well defined set . as Z = { ...........-1,0,1,2,3...........}
8) The collection of questions in this chapter is well defined and hence it forms a set.

9)the collection of most dangerous animals of the world is not well defined because opinion about ‘most dangerous animals’ vary from person to person and hence it does not form a set.

Answer 2

Answer:

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Step-by-step explanation:

(i) The collection of all months of a year beginning with J is {J anuary, June, July}, which is well defined and hence it forms a set.

(ii) The collection of most talented writers of India is not well defined because opinions about ‘most talented writers’ vary from person to person and hence it does not form a set.

(iii) A team of eleven best-cricket batsmen of the world is not well defined because opinions about ‘best-cricket batsmen’ vary from person to person and hence it does not form a set.

(iv) The collection of all boys in your class is well defined and hence it forms a set.

(v) The collection of all natural numbers less than 100 is {1, 2, 3, 4,…………, 99}, which is well

defined and hence it forms a set.

(vi) A collection of novels written by the writer Munshi Prem Chand is well defined and hence it forms a set.

(vii) The collection of all even integers is {…………..,-4, -2, 0, 2, 4,……….. } which is well defined and hence it forms a set.

(viii) The collection of questions in this chapter is well defined and hence it forms a set.

(ix) A collection of most dangerous animals of the world is not well defined because opinions about ‘most dangerous animals’ vary from person to person and hence it does not form a set.

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