One possible set, out of infinitely many, is positive irrational numbers.
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There are no subsets of irrational numbers. There are subsets of rational numbers, however.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
Rational Numbers and Irrational Numbers
There are infiitelt many subsets of irrational numbers. One possible subset is the set of all positive irrational numbers.
The two main DISJOINT subsets of the Real numbers are the rational numbers and the irrational numbers.