The true statement about the relationships between the number sets is:
All rational numbers are real numbers.
Here's a brief explanation for the other options:
- All irrational numbers are whole numbers. - Incorrect. Irrational numbers cannot be expressed as a fraction and are not whole numbers.
- Some natural numbers are irrational numbers. - Incorrect. Natural numbers are always rational, as they can be expressed as fractions (e.g., 5 = 5/1).
- Some integers are irrational numbers. - Incorrect. All integers are rational numbers as they can also be expressed as a fraction (e.g., 3 = 3/1).
Thus, the only correct response is that all rational numbers are indeed real numbers.