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The two main DISJOINT subsets of the Real numbers are the rational numbers and the irrational numbers.
Numbers are the main thing in Maths.
The main subsets are as follows:Real numbers (R) can be divided into Rational numbers (Q) and Irrational numbers (no symbol).Irrational numbers can be divided into Transcendental numbers and Algebraic numbers.Rational numbers contain the set of Integers (Z)Integers contain the set of Natural numbers (N).
The main subgroup is the rational numbers. The set of irrational numbers is not closed with regard to addition basic arithmetical operations and so does not form a group.
Make sure all odd numbers are in pairs. And yes, I am a genius.