There are no subsets of irrational numbers. There are subsets of rational numbers, however.
Rational numbers.
Rational Numbers and Irrational Numbers
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.
The two main DISJOINT subsets of the Real numbers are the rational numbers and the irrational numbers.
There are no subsets of irrational numbers. There are subsets of rational numbers, however.
Rational numbers.
Rational Numbers and Irrational Numbers
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.
The two main DISJOINT subsets of the Real numbers are the rational numbers and the irrational numbers.
Both rational numbers and integers are subsets of the set of real numbers.
Both are subsets of the real numbers.
There is no such number. The empty set is a subset of rational numbers and, by definition, it contains no numbers so nothing that can be common to any other subset.Alternatively, all rational numbers less than -1 and all rational numbers greater than 1 are subsets of rational numbers. There is no number common to them.
Concentric circles. The set of whole numbers is a subset of the set of integers and both of them are subsets of the set of rational numbers.
Integers, Rational numbers, Real numbers and Complex numbers.
rational numbers and irrational numbers
All rational numbers are real so the phrase "real rational" has no meaning. There are an infinite number of subsets: The emply or null set, {1,1.5, 7/3}, {2}, (0.1,0.2,0.3,0.66..., 5.142857142857...} are some examples.