Question

Which statement is true about the relationships between the number sets?(1 point) Responses All irrational numbers are whole numbers. All irrational numbers are whole numbers. Some natural numbers are irrational numbers. Some natural numbers are irrational numbers. All rational numbers are real numbers. All rational numbers are real numbers. Some integers are irrational numbers.

Answer 1

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:

1. **All irrational numbers are whole numbers.** - Incorrect. Irrational numbers cannot be expressed as a fraction and are not whole numbers.
2. **Some natural numbers are irrational numbers.** - Incorrect. Natural numbers are always rational, as they can be expressed as fractions (e.g., 5 = 5/1).
3. **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.