Which statement is correct about A = {x : x ∈ N, 2 < x < 3}?
Answer and explanation
Correct answer: It is an empty set
The condition requires x to be a natural number strictly greater than 2 and strictly less than 3. The endpoints 2 and 3 are excluded because both inequalities are strict. There is no natural number between two consecutive natural numbers, 2 and 3. Hence no value satisfies the condition, so A = ∅.
Frequently asked questions
What is the correct answer to this question?
It is an empty set
Why is this the correct answer?
The condition requires x to be a natural number strictly greater than 2 and strictly less than 3. The endpoints 2 and 3 are excluded because both inequalities are strict. There is no natural number between two consecutive natural numbers, 2 and 3. Hence no value satisfies the condition, so 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.
