If M = {x : x ∈ N and x is not divisible by 2}, what type of set is M?
Answer and explanation
Correct answer: Infinite set
Natural numbers that are not divisible by 2 are the odd natural numbers: 1, 3, 5, 7, 9, and so on. For every odd natural number, another larger odd natural number exists, so the list never ends. There is no upper bound on x. Consequently, M contains infinitely many elements and is an infinite set.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
Natural numbers that are not divisible by 2 are the odd natural numbers: 1, 3, 5, 7, 9, and so on. For every odd natural number, another larger odd natural number exists, so the list never ends. There is no upper bound on x. Consequently, M contains infinitely many elements and is an infinite set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
