What is the correct form of A = {x : x ∈ N, x < 1}?
Answer and explanation
Correct answer: ∅
Using the usual school definition N = {1, 2, 3, ...}, the smallest natural number is 1. The condition x < 1 therefore cannot be satisfied by any natural number. Since no element meets both conditions, the set is empty and its correct roster form is A = ∅. Zero is excluded because it is not included in this convention for N.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
Using the usual school definition N = {1, 2, 3, ...}, the smallest natural number is 1. The condition x < 1 therefore cannot be satisfied by any natural number. Since no element meets both conditions, the set is empty and its correct roster form is A = ∅. Zero is excluded because it is not included in this convention for N.
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.
