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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.
Both are subsets of the real numbers.
Rational Numbers and Irrational Numbers
Rational numbers.
rational numbers and irrational numbers
Only a set can have subsets, a number such as -2.38 cannot have subsets.
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.
They are all subsets of the real number. That is their only common feature. There is little direct relationship between the set of counting numbers and the set S = {pi, sqrt(9.3), 6, -7.5}
Both rational numbers and integers are subsets of the set of real numbers.
Are disjoint and complementary subsets of the set of real numbers.
No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.