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Q: A set of numbers combining rational and irrational numbers?

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No, a number is either rational or irrational

It is the set of Real numbers.

real numbers

ratio numbers

The real numbers.

Are in the set of real numbers.

The set of real numbers.

There is no representation for irrational numbers: they are represented as real numbers that are not rational. The set of real numbers is R and set of rational numbers is Q so that the set of irrational numbers is the complement if Q in R.

No. Irrational and rational numbers can be non-negative.

The set of Real numbers.

Yes. The rational numbers are countable, that is they can be put in a one-to-one correspondence with the counting numbers, but the irrational numbers cannot and so are not countable. There is a higher infinity of irrational numbers than the infinity of rational numbers.

The real numbers.

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