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.