Which of the following are sets? Justify your answer.

Question:

Which of the following are sets? Justify your answer. The collection of all whole numbers less than 10.

 

Solution:

Whole numbers are 0, 1, 2, 3, …

Whole numbers less than 10 are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

As the collection of all whole numbers, less than 10 is known and can be counted, i.e.

well – defined.

∴, this is a set.

 

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