Question

Choose all true statements All real numbers are rational numbers. Some rational numbers are natural numbers. No real numbers are irrational numbers. All whole numbers are integers. Some integers are natural numbers. No rational numbers are integers.

Answer 1

The statements that are true are: All whole numbers are integers, Some rational numbers are natural numbers, and No rational numbers are integers.

Step-by-step explanation:

The following statements are true:

1. All whole numbers are integers.
2. Some rational numbers are natural numbers.
3. No rational numbers are integers.

Here is the breakdown of the statements:

1. All whole numbers are integers. This is true because whole numbers refer to positive numbers with no decimal or fractional parts, and integers include both positive and negative whole numbers.

2. Some rational numbers are natural numbers. This is true because natural numbers are positive integers (1, 2, 3, etc.), and since natural numbers are a subset of rational numbers, there will be some rational numbers that are also natural numbers.

3. No rational numbers are integers. This is true because rational numbers include numbers with decimal or fractional parts, whereas integers only include whole numbers with no decimal or fractional parts.