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Q: Why the set of mixed numbers is not a subset of the set of integers?

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No, the set of mixed numbers is a subset of the set of rational numbers. For example the mixed number 1 Â¼ is the same as the improper fraction 5/4 [a rational number]. Note that it is a subset, because integers are also rational numbers, but a mixed number will not be an integer. Also, any fraction between 0 and 1 will not be a mixed number.

Yes - the set of integers is a subset of the set of rational numbers.

No, they are not.

The set of natural numbers is a subset of the set of whole numbers. The set of whole numbers is a subset of the set of integers. So the set of integers is the largest of these three sets.

Yes.

A subset is a smaller set that is part of a larger set. For example, the set of animals contains the subset of reptiles, the subset of mammals, and various others. Or in mathematics, the set of real numbers contains the subset of positive integers, the subset of negative integers, the subset of rational numbers, etc.

The set of integers is a proper subset of the set of rational numbers.

Yes. Integers are just rational numbers of the form a/1.

Integers and whole numbers are the same thing. The sets are identical.

Natural numbers are a subset of the set of integers, among others.

Yes. For example, the set of odd natural numbers is a infinite subset of the set of integers.

That's false.

Yes, and conversely. They are the same set.

No. But all whole numbers are in the set of rational numbers. Natural numbers (ℕ) are a subset of Integers (ℤ), which are a subset of Rational numbers (ℚ), which are a subset of Real numbers (ℝ),which is a subset of the Complex numbers (ℂ).

The Natural numbers is the set of Integers greater than 0 (ie {1, 2, 3, ...})

The set of all positive integers is a subset of the set of all integers.

They are in the subset of integers which are greater than 1.

Concentric circles. The set of whole numbers is a subset of the set of integers and both of them are subsets of the set of rational numbers.

Yes - in fact the set of all even numbers is a subset of the set of all integers, which is, in turn, a subset of the set of all real numbers.

Concentric circles. The set of whole numbers is a subset of the set of integers and both of them are subsets of the set of rational numbers.

The set of positive integers contains 1 but not zero. Within the set of integers, there is the subset of positive integers, the subset of negative integers and the subset with a single element in it - zero. There are a zillion other sets that could be specified that meet the conditions set down in the question. The one cited is an easy one.

The set of integers is a subset of decimals. If it is all decimals, including infinite non-terminating ones, then it is the real numbers.

A set of which all the elements are contained in another set. The set of even numbers is a subset of the set of integers.

There are lots of subsets; some of the ones that are commonly used are: rational numbers; irrational numbers; positive numbers; negative numbers; non-negative numbers; integers; natural numbers. Remember that a subset simply means a set that is contained in another set. It may even be the same set. So the real numbers are a subset of themselves. The number {3} is a subset of the reals. All the examples above are subsets as well. The set {0,1, 2+i, 2-i} is NOT a subset of the real numbers. The real numbers are a subset of the complex numbers.

Every integers are real numbers.more precisely, integers are the subset of R, the set of real numbers.They are whole numbers with no decimals or fractions

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