Consider the following statements: I. The set of all irrational numbers between \sqrt{12} and \sqrt{15} is an infinite set. II. The set of all odd integers less than 1000 is a finite set. Which of the statements given above is/are correct?
- A. I only ✓
- B. II only
- C. Both I and II
- D. Neither I nor II
Correct Answer: A. I only
Explanation
There are infinitely many irrational numbers between any two distinct real numbers. The set of odd integers less than 1000 includes negative odd integers which extend to negative infinity, making it an infinite set.
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