Question

which statement is true about the relationships between the number sets whole numbers include all natural numbers and 0 not all natural numbers are also intergers all rational numbers are also intergers

Answer 1

Let's analyze each of the statements you've provided:

1. **Whole numbers include all natural numbers and 0.**
This statement is **true**. Whole numbers are defined as the set of natural numbers (1, 2, 3, ...) along with 0. Thus, whole numbers include 0 and all natural numbers.

2. **Not all natural numbers are also integers.**
This statement is **false**. All natural numbers (which typically include 1, 2, 3, ...) are indeed integers. The set of integers includes all natural numbers, 0, and the negative integers (-1, -2, -3, ...).

3. **All rational numbers are also integers.**
This statement is **false**. Rational numbers are any numbers that can be expressed as the quotient of two integers, but they include fractions (like 1/2, 3/4), which are not integers. Only some rational numbers are integers (like 1, -5, 0).

In summary, only the first statement is true.