There are no subsets of irrational numbers. There are subsets of rational numbers, however.
The domain and range can be the whole of the real numbers, or some subsets of these sets.
Rational Numbers and Irrational Numbers
The two main DISJOINT subsets of the Real numbers are the rational numbers and the irrational numbers.
There are infinitely many subsets of real numbers. For example, {2, sqrt(27), -9.37} is one subset.
Rational numbers.
Only a set can have subsets, a number such as -2.38 cannot have subsets.
10
Both are subsets of the real numbers.
Integers, rationals. Also all subsets of these sets eg all even numbers, all integers divided by 3.
The set of real numbers is infinitely large, therefore it has an infinite amount of subsets. For example, {1}, {.2, 4, 800}, and {-32323, 3.14159, 32/3, 6,000,000} are all subsets of the real numbers. There are a few, important, and well studied namedsubsets of the real numbers. These include, but aren't limited to, the set of all prime numbers, square numbers, positive numbers, negative numbers, natural numbers, even numbers, odd numbers, integers, rational numbers, and irrational numbers. For more information on these, and other, specific subsets of the real numbers, follow the link below.
rational numbers and irrational numbers