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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.

Q: Set of real numbers

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In a certain sense, the set of complex numbers is "larger" than the set of real numbers, since the set of real numbers is a proper subset of it.

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

Real numbers are a proper subset of Complex numbers.

There is only one set of Real numbers.

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

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real numbers

In a certain sense, the set of complex numbers is "larger" than the set of real numbers, since the set of real numbers is a proper subset of it.

the set of real numbers

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

Real numbers are a proper subset of Complex numbers.

The set of real numbers is a subset of the set of complex numbers. For the set of complex numbers, given in the form (a + bi), where a and b can be any real number, the number is only a real number, if b = 0.

There is only one set of Real 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.

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

It is the set of Real numbers.

real numbers

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