The set of Irrational Numbers is larger than the set of rational numbers, as proved by Cantor: The set of rational numbers is "countable", meaning there is a one-to-one correspondence between the natural numbers and the rational numbers. You can put them in a sequence, in such a way that every rational number will eventually appear in the sequence. The set of irrational numbers is uncountable, this means that no such sequence is possible.
All rational and irrationals (ie real numbers) are a subset of complex numbers. Complex numbers, in turn, are part of a larger group, and so on.
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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.
All irrational numbers are not rational.
All rational and irrational numbers are real numbers.
Rational=1.25,1.5,1.75 Irrational= 1.3333333333,1.66666666666,1.999999999
is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.