Question

2. Which of the following collections are sets ?
(2 marks)
(i) The collection of prime numbers.
(ii) The collection of good teachers in your
school
(iii) The collection of students in your school.
(iv) The collection of happy people in your town.​

Answer 1

Answer:

A set in mathematics is a collection of well defined and distinct objects.

Here (i), (iii) are sets as they are well defined collection of objects.

However (ii), (iv) are not a well-defined collection because the criteria for determining a good teachers or happy people may vary from person to person. Therefore, (ii) and (iv) are not sets.

Hope it helps :)