Which of the following are sets? Justify your answer. (i) The collection of good books (ii) The collection of prime numbers less than 60 (iii) The collection of 20 most talented mathematics teachers. (iv) The collection of all students in your class (v) The collection of all even numbers

Answers (1)

Set is a well defined collection of the objects. 

(i) The collection of good books- Is purly depends on person to person. So, it is not a set. 

(ii) The collection of prime numbers less than 60- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59 are the prime number less then 60. So it is set. 

(iii) The collection of 20 most talented mathematics teachers- It is also depends on person to person. So, it is not a set. 

(iv) The collection of all students in your class- This is clearly defined the stuents. It is a set.

(v) The collection of all even numbers- {2w : w€W} So it is a set. 

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