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What is the set of all real numbers?

Updated: 4/28/2022
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Stephmister

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βˆ™ 13y ago

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The set of all real numbers (R) is the set of all rational and Irrational Numbers. The set R has no restrictions in its domain and so includes (-∞, ∞).

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Q: What is the set of all real numbers?
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What is the set of numbers that includes all rational and all irrational numbers?

the set of real numbers


What is the set of numbers including all irrational and rational numbers?

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How to determine the domain set of all real numbers?

By definition, it is the set of all real numbers!


The set of all rational and irrational numbers?

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


What is the set of the real numbers?

The set of all real numbers (R) is the set of all rational and Irrational Numbers. The set R has no restrictions in its domain and so includes (-∞, ∞).


What is a natural number that is not real?

The set of Natural Numbers is the set of 'counting numbers' {1,2,3,4,....}. All of them are also real numbers.


What is infinate set?

It's a set with an infinite quantity of elements, like the set of all real numbers, or the set of all real numbers except zero, etc.


Why is every rational number a real number?

There are rational numbers and irrational numbers. Real numbers are DEFINED as the union of the set of all rational numbers and the set of all irrational numbers. Consequently, all rationals, by definition, must be real numbers.


What The set of all numbers including all rational and irrational numbers?

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Can a real number be an integer and an even number?

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.


Set of real numbers?

The set of real numbers is the union of the set of rational and irrational numbers. But there are so many other ways to describe it. Real numbers can be constructed as Dedekind cuts of rational numbers. The set of real numbers can also be viewed as the set of equivalence classes of Cauchy sequences of rational numbers Some people like the definition, that the real numbers are all the numbers which can be expressed as decimals.


What includes all negative and positive whole numbers and zero?

The set of integers, the set of rational numbers, the set of real numbers, the set of complex numbers, ...