Question

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

Answer 1

To determine which statement is true about the relationships between number sets, we need to consider the typical relationships among the following sets of numbers:

1. **Natural Numbers (N)**: These are the set of all positive integers starting from 1 (1, 2, 3, ...).
2. **Whole Numbers (W)**: These include all natural numbers plus zero (0, 1, 2, 3, ...).
3. **Integers (Z)**: These are all whole numbers and their negative counterparts (..., -3, -2, -1, 0, 1, 2, 3, ...).
4. **Rational Numbers (Q)**: These are numbers that can be expressed as the quotient of two integers (a/b where b ≠ 0), including fractions and terminating or repeating decimals.
5. **Irrational Numbers**: These cannot be expressed as a simple fraction and have non-repeating, non-terminating decimal representations (e.g., √2, π).
6. **Real Numbers (R)**: This set includes all rational and irrational numbers.

The key relationships are:
- Natural numbers are a subset of whole numbers.
- Whole numbers are a subset of integers.
- Integers are a subset of rational numbers.
- Rational and irrational numbers together make up the real numbers.

So, a true statement about the relationships between these number sets could be:
**Natural numbers are contained in whole numbers, which are contained in integers, which in turn are contained in rational numbers.**

If you have specific statements to evaluate, I could help determine which one is true based on the relationships mentioned above.