The set of Real numbers.
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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.
Real numbers can be rational or irrational because they both form the number line.
All irrational numbers are not rational.
-8.0 is a rational number. Irrational numbers are things such as numbers that can't be expressed as a fraction in the a/b form. Such numbers that are irrational include pi, square roots of negative numbers, etc.
All rational and irrational numbers are real numbers.