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The two main DISJOINT subsets of the Real numbers are the rational numbers and the Irrational Numbers.

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Q: What is the 2 main subsets of real numbers?

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There are infinitely many subsets of real numbers. For example, {2, sqrt(27), -9.37} is one subset.

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.

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.

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.

There are infinitely many possible subsets.For example,{}, {1}, {2}, {1, 2}, {3}, {1,3}, {2, 3}, {1,2,3} and so on. With n elements, you will have 2^n subsets. There are infinitely many positive integers, an equal number of negative integers, rational numbers, and a higher order of infinitely many irrational numbers in the set of Real numbers. So enumerating or even classifying the subsets is an infinitely huge task!

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.

A set with n elements has 2^n subsets.

A real number is just an ordinary number. The set of real numbers include all numbers between negative and positive infinity. Real numbers are ordered, and thus do not include imaginary numbers. A subset of real numbers refers to a group, or subsection, of real numbers. For instance, the numbers between 5 and 22 are a subset of real numbers. Another example of a subset is all even numbers, or all odd 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.

Say if the number is a whole,integer,rational, or irrational. For example: -3.5 is irrational. But 2 is whole, integer, and rational. * * * * * The above is absolute rubbish. -3.5 is rational (-7/2), not irrational. Also, it mentions the subsets of real numbers, whereas the question is about what the real numbers are a subsets of - the supersets of real numbers. Actually, the set of real numbers is probably the largest set of numbers that you will come across in Secondary School (age 16-ish). If you continue with mathematics beyond that you will come across complex numbers: real numbers are a subset of complex numbers. There are supersets of complex numbers as well but you will not come across them unless you study mathematics to a seriously high level.

For example, if we have a set of numbers called A which has 3 members(in our case numbers): A={2,5,6} this set has 8 subsets (2^3) which are as follow: the empty set: ∅ {2},{5},{6} {2,5},{2,6},{5,6} {2,5,6}

thenumber of subsets = 8formula: number of subsets =2n; wheren is thenumber of elements in the set= 2n= 23= 8The subsets of 1,2,3 are:{ }, {1}, {2}, {3}, {1,2}, {2,3}, {1,3}, {1,2,3}

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