If A = {x ∈ ℝ : 1 < x < 2}, which statement is correct?
Answer and explanation
Correct answer: A अनंत समुच्चय है
The set contains every real number strictly between 1 and 2. It includes numbers such as 3/2, 4/3, 7/5, and infinitely many other decimals and fractions. Between any two distinct real numbers there are infinitely many real numbers. Because the endpoints are excluded, the set is the open interval (1, 2), but excluding endpoints does not make it finite or empty. Thus A is infinite.
Frequently asked questions
What is the correct answer to this question?
A अनंत समुच्चय है
Why is this the correct answer?
The set contains every real number strictly between 1 and 2. It includes numbers such as 3/2, 4/3, 7/5, and infinitely many other decimals and fractions. Between any two distinct real numbers there are infinitely many real numbers. Because the endpoints are excluded, the set is the open interval (1, 2), but excluding endpoints does not make it finite or empty. Thus A is infinite.
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.
