If A = {x : x is a negative natural number}, what is A?
Answer and explanation
Correct answer: ∅
In the usual school convention, natural numbers are the positive counting numbers 1, 2, 3, and so on; some curricula also include 0, but neither convention includes negative numbers. Consequently, there is no negative natural number. Since no element satisfies the condition, A has no members and is the empty set, written A = ∅.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
In the usual school convention, natural numbers are the positive counting numbers 1, 2, 3, and so on; some curricula also include 0, but neither convention includes negative numbers. Consequently, there is no negative natural number. Since no element satisfies the condition, A has no members and is the empty set, written A = ∅.
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.
