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Subjects>Math>Other Math

Derived Set of a set of Rational Numbers?

Anonymous

∙ 12y ago

Updated: 11/14/2024

The derived set of a set of rational numbers is the set of all limit points of the original set. In other words, it includes all real numbers that can be approached arbitrarily closely by elements of the set. Since the rational numbers are dense in the real numbers, the derived set of a set of rational numbers is the set of all real numbers.

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Q: Derived Set of a set of Rational Numbers?

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Continue Learning about Other Math

What is a set of rational and irrational numbers?

It is the set of Real numbers.

What is the set that goes on forever in rational number called?

It is the set of rational numbers.

Is the set of whole numbers is a subset of the set of rational numbers?

Yes.

Which set of numbers is not a subset of the rational numbers?

A set which contains any irrational or complex numbers.

What is the set of rational numbers together with the set of irrational numbers?

The real number system

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Related Questions

Is the intersection of the set of rational numbers and the set of whole numbers is the set of rational numbers?

No, it is not.

Are integers in a set of rational numbers?

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

Does a real number contain the set of rational numbers?

No. A real number is only one number whereas the set of rational numbers has infinitely many numbers. However, the set of real numbers does contain the set of rational numbers.

A set of numbers combining rational and irrational numbers?

The Real numbers

How are rational number different from fractional and whole number?

The set of rational numbers is the union of the set of fractional numbers and the set of whole numbers.

Why negative 3 belongs to the set of integers and rational numbers?

Because that is how the set of integers and the set of rational numbers are defined.

How can you represent how to set of whole numbers integers and rational numbers are related to each other?

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.

What is a set of rational and irrational numbers?

It is the set of Real numbers.

Are natural numbers the same of rational numbers?

The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.

How do you prove the set of rational numbers are uncountable?

They are not. They are countably infinite. That is, there is a one-to-one mapping between the set of rational numbers and the set of counting numbers.

How are whole numbers integers and rational numbers related?

The set of integers includes the set of whole numbers. The set of rational numbers includes the sets of whole numbers and integers.

What is the set that goes on forever in rational number called?

It is the set of rational numbers.

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