If P = {x : x ∈ N and x is odd}, which statement about P is correct?
Answer and explanation
Correct answer: P is an infinite set
The odd natural numbers begin 1, 3, 5, 7, 9, and continue indefinitely. For every odd natural number, adding 2 produces another odd natural number, so there can never be a final element. The set therefore contains infinitely many elements. Option D lists only some initial elements, not the complete set.
Frequently asked questions
What is the correct answer to this question?
P is an infinite set
Why is this the correct answer?
The odd natural numbers begin 1, 3, 5, 7, 9, and continue indefinitely. For every odd natural number, adding 2 produces another odd natural number, so there can never be a final element. The set therefore contains infinitely many elements. Option D lists only some initial elements, not the complete 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.
