Which statement is true about the relationships between the number sets?(1 point)

Question

Responses

Some irrational numbers are also integers.
Some irrational numbers are also integers.

Whole numbers include all positive and negative integers.
Whole numbers include all positive and negative integers.

Not all natural numbers are real numbers.
Not all natural numbers are real numbers.

All integers are also rational numbers.

Answer 1

The true statement about the relationships between the number sets is:

All integers are also rational numbers.

Here's a brief explanation of each statement:

1. Some irrational numbers are also integers. - False. Irrational numbers cannot be expressed as a fraction of two integers, while integers are whole numbers. Thus, no irrational number is an integer.

2. Whole numbers include all positive and negative integers. - False. Whole numbers include all non-negative integers (0, 1, 2, ...), but do not include negative integers.

3. Not all natural numbers are real numbers. - False. All natural numbers (1, 2, 3, ...) are considered real numbers.

4. All integers are also rational numbers. - True. Any integer can be expressed as a fraction (for example, 3 can be expressed as 3/1), thus all integers are rational numbers.