What is the correct conclusion for the set T = {x : x ∈ ℕ, 3 < x < 4}?
Answer and explanation
Correct answer: T = ∅
The set contains natural numbers strictly greater than 3 and strictly less than 4. The only integers near this interval are 3 and 4, but 3 is not greater than 3 and 4 is not less than 4. There is no natural number between consecutive integers 3 and 4. Therefore, the set has no elements and is the empty set, written as ∅.
Frequently asked questions
What is the correct answer to this question?
T = ∅
Why is this the correct answer?
The set contains natural numbers strictly greater than 3 and strictly less than 4. The only integers near this interval are 3 and 4, but 3 is not greater than 3 and 4 is not less than 4. There is no natural number between consecutive integers 3 and 4. Therefore, the set has no elements and is the empty set, written as ∅.
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.
