Consider the following statements : 1. The set of <strong>ALL</strong> irrational numbers between \sqrt{2} and \sqrt{5} is an infinite set. 2. The set of <strong>ALL</strong> odd integers less than 100 is a finite set. Which of the statements given above is/are correct?
- A. 1 only ✓
- B. 2 only
- C. Both 1 and 2
- D. Neither 1 nor 2
Correct Answer: A. 1 only
Explanation
Between any two distinct real numbers, there are infinitely many irrational numbers, so Statement 1 is true. The set of odd integers less than 100 extends to negative infinity (e.g., 99, 97, \dots, -1, -3, \dots), making it an infinite set. Thus, Statement 2 is false.
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