Question

Which of the following collection is a set ? ​

a. The set of good boys in your class.
b. The set of difficult examples in your textbook.
c. The set of prime numbers between 1 and 1000.
d. The set of intelligent people in your society.

Answer 1

The set of prime numbers between 1 and 1000 is a set. The set of prime numbers between 1 and 1000 is the only collection that is a set.

Step-by-step explanation:

A set is a collection of distinct and well-defined objects. In other words, it is a group of things that have a clear and distinct identity. Out of the options given:

1. The set of good boys in your class is not a set because the term 'good' is subjective and does not provide a clear criteria to define the boys.
2. The set of difficult examples in your textbook is not a set because 'difficult' is subjective and can vary from person to person.
3. The set of prime numbers between 1 and 1000 is a set. Prime numbers are well-defined and there is a clear criteria to identify them.
4. The set of intelligent people in your society is not a set because 'intelligent' is subjective and it is difficult to define intelligence objectively.

Therefore, option c.

The set of prime numbers between 1 and 1000 is the only collection that is a set.