Question

Which of the following are sets? Justify your answer.

The collection of all-natural numbers less than 100.

Answer 1

The collection of all natural numbers less than 100 is a well-defined collection because there is no ambiguity in regard of numbers and there values greater than or less than 100. There are specific numbers which belongs to the given collection. Such numbers choice doesn’t vary from person to person. The clearly defined objects make the collection a set.

{x:x={0, 1, 2, 3, ...99} where n∈N and 0≤n<100}

N is natural number

JAI SHREE KRISHNA