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Q: What are the two subsets of the real numbers that form the set of real numbers?

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Real numbers; rational numbers; integers; and of course you can make up lots of other sets to which it belongs.

There is no one to one correspondence between the real numbers and the set of integers. In fact, the cardinality of the real numbers is the same as the cardinality of the power set of the set of integers, that is, the set of all subsets of the set of integers.

real numbers

To any set that contains it! It belongs to {-22}, or {-22, sqrt(2), pi, -3/7}, or all whole numbers between -43 and 53, or multiples of 11, or composite numbers, or integers, or rational numbers, or real numbers, etc.

A finite set with N distinct elements has 2N subsets.

Related questions

Are disjoint and complementary subsets of the set of real numbers.

Rational Numbers and Irrational Numbers

Both rational numbers and integers are subsets of the set of real numbers.

Only a set can have subsets, a number such as -2.38 cannot have subsets.

No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.

The set of real numbers is infinitely large, therefore it has an infinite amount of subsets. For example, {1}, {.2, 4, 800}, and {-32323, 3.14159, 32/3, 6,000,000} are all subsets of the real numbers. There are a few, important, and well studied namedsubsets of the real numbers. These include, but aren't limited to, the set of all prime numbers, square numbers, positive numbers, negative numbers, natural numbers, even numbers, odd numbers, integers, rational numbers, and irrational numbers. For more information on these, and other, specific subsets of the real numbers, follow the link below.

No, they are disjoint sets. Both are subsets of the Real numbers.

Real number set, imaginary number set, and their subsets.

There are infinitely many subsets of real numbers. For example, {2}, {2, 3}, {2.3, pi, sqrt(37)}. It is, therefore, not possible to list them.The main subsets of real numbers are the rational numbers and irrational numbers.Irrational numbers can be split into transcendental numbers and polynomial roots.Rational numbers contain the set of integers.Integers contain the set of natural numbers.Natural numbers contain the set of counting numbers.

All rational numbers are real so the phrase "real rational" has no meaning. There are an infinite number of subsets: The emply or null set, {1,1.5, 7/3}, {2}, (0.1,0.2,0.3,0.66..., 5.142857142857...} are some examples.

Not necessarily. There are series over all kinds of subsets and supersets of the set of real numbers.

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.

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