Which statement is true about the relationships between the number sets
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It seems like you're asking about the relationships between different number sets. There are several statements that can be true about these relationships. Here are a few examples:
1. The natural numbers (1, 2, 3, ...) are a subset of the whole numbers (0, 1, 2, 3, ...), which are in turn a subset of the integers (..., -3, -2, -1, 0, 1, 2, 3, ...).
2. The rational numbers (numbers that can be expressed as fractions) are a subset of the real numbers (which include both rational and irrational numbers).
3. The complex numbers (numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit) include both the real numbers and the imaginary numbers.
4. The set of prime numbers is a subset of the set of natural numbers.
5. The set of even numbers is a subset of the set of integers.
These statements highlight a few examples of relationships between different number sets, but there are many more relationships to explore. Let me know if you have any specific questions about a particular relationship!
To determine which statement is true about the relationships between number sets, we need to clarify what number sets are being referred to. There are several different sets of numbers, such as the natural numbers, whole numbers, integers, rational numbers, and real numbers.
Once we specify the number sets in question, we can analyze their relationships. Here are a few general statements about the relationships between number sets:
1. The set of natural numbers is a subset of the set of whole numbers, which is a subset of the set of integers, which is a subset of the set of rational numbers, and so on.
2. The set of rational numbers is a superset of the set of integers, because every integer can be expressed as a fraction with a denominator of 1.
3. The set of irrational numbers is disjoint from the set of rational numbers, meaning that they have no numbers in common.
4. The set of real numbers is the union of the rational numbers and irrational numbers. In other words, every real number is either rational or irrational.
5. The set of complex numbers is an extension of the set of real numbers, as it includes numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit.
These are just a few examples, and there may be more specific statements depending on the context or number sets in question.