Question

Which statement is true about the relationships between the number sets?(1 point)%0D%0AResponses%0D%0A%0D%0ANot all natural numbers are real numbers.%0D%0ANot all natural numbers are real numbers.%0D%0A%0D%0AAll integers are also rational numbers.%0D%0AAll integers are also rational numbers.%0D%0A%0D%0AWhole numbers include all positive and negative integers.%0D%0AWhole numbers include all positive and negative integers.%0D%0A%0D%0ASome irrational numbers are also integers.

Answer 1

Let's evaluate each statement to determine which one is true:

1. **Not all natural numbers are real numbers.**
This statement is false. All natural numbers are indeed real numbers.

2. **All integers are also rational numbers.**
This statement is true. Every integer can be expressed as a fraction (for example, \(5\) can be expressed as \(\frac{5}{1}\)), thus all integers are rational numbers.

3. **Whole numbers include all positive and negative integers.**
This statement is false. Whole numbers include only non-negative integers, which are 0 and positive integers.

4. **Some irrational numbers are also integers.**
This statement is false. By definition, irrational numbers cannot be expressed as a fraction of two integers, and therefore cannot be integers.

Given this analysis, the true statement is: **All integers are also rational numbers.**