What is the correct form of F = {x ∈ ℕ : 5 < x < 6}?
Answer and explanation
Correct answer: F = ∅
The element x must be a natural number strictly greater than 5 and strictly less than 6. Since 5 and 6 are consecutive natural numbers, there is no natural number between them. Both endpoints are excluded by the strict inequalities. Consequently, no element satisfies the condition, so F is the empty set and option D is correct.
Frequently asked questions
What is the correct answer to this question?
F = ∅
Why is this the correct answer?
The element x must be a natural number strictly greater than 5 and strictly less than 6. Since 5 and 6 are consecutive natural numbers, there is no natural number between them. Both endpoints are excluded by the strict inequalities. Consequently, no element satisfies the condition, so F is the empty set and option D is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
