2026 · Q31
Consider the following statements:
- IThe set of all birds living on the Earth is an infinite set.
- IIThe set of all real numbers between 0 and 10 is a finite set.
Which of the statements given above is/are correct?
Elementary MathematicsSet Theory
- AI only
- BII only
- CBoth I and II
- DNeither I nor II
Explanation
Statement I is false: the birds alive on Earth form a finite set. Statement II is false: the real numbers between 0 and 10 are uncountably infinite. Neither statement is correct, option D.