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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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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?

real numbers


How to determine the domain set of all real numbers?

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


Derived Set of a set of Rational Numbers?

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.


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?

real numbers


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.


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, ...