What type of set is the set of negative numbers in ℕ?
Answer and explanation
Correct answer: An empty set
The set ℕ denotes the natural numbers, which are non-negative in the convention used here, or positive numbers in conventions that begin with 1. In either convention, no negative number belongs to ℕ. Therefore there is no element satisfying the condition “x is a negative natural number.” The required set has no elements and is consequently the empty set, written ∅.
Frequently asked questions
What is the correct answer to this question?
An empty set
Why is this the correct answer?
The set ℕ denotes the natural numbers, which are non-negative in the convention used here, or positive numbers in conventions that begin with 1. In either convention, no negative number belongs to ℕ. Therefore there is no element satisfying the condition “x is a negative natural number.” The required set has no elements and is consequently the empty set, written ∅.
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.
