What is the type of {x ∈ ℕ : 5 < x < 6}?
Answer and explanation
Correct answer: Empty set
The condition requires x to be a natural number strictly greater than 5 and strictly less than 6. There is no integer, and therefore no natural number, between two consecutive integers 5 and 6. No value satisfies the condition, so the set has no elements. Hence it is the empty set, and option A is correct.
Frequently asked questions
What is the correct answer to this question?
Empty set
Why is this the correct answer?
The condition requires x to be a natural number strictly greater than 5 and strictly less than 6. There is no integer, and therefore no natural number, between two consecutive integers 5 and 6. No value satisfies the condition, so the set has no elements. Hence it is the empty set, and option A is correct.
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.
