Which statement is true about the relationships between the number sets? * 1 point All integers are also whole numbers. Not all natural numbers are rational Some irrational numbers are rational All natural numbers are integers

Answer 1

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

1. All integers are also whole numbers.
   This statement is false. Whole numbers include all non-negative integers (0, 1, 2, 3, ...), while integers include both positive and negative whole numbers (..., -3, -2, -1, 0, 1, 2, 3, ...). Therefore, not all integers are whole numbers because negative integers are not included in whole numbers.

2. Not all natural numbers are rational.
   This statement is false. Natural numbers (1, 2, 3, ...) are a subset of rational numbers because any natural number can be expressed as a fraction (e.g., \(n = \frac{n}{1}\)).

3. Some irrational numbers are rational.
   This statement is false. By definition, irrational numbers cannot be expressed as a fraction of two integers, while rational numbers can. Therefore, no irrational number is rational.

4. All natural numbers are integers.
   This statement is true. Natural numbers (1, 2, 3, ...) are indeed a subset of integers.

The true statement is: All natural numbers are integers.