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The rational numbers are a subset of the irrational numbers?


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Answered 2011-12-11 22:44:05

No, they are complementary sets. No rational number is irrational and no irrational number is rational.

Irrational means not rational.


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Natural numbers = Whole numbers are a subset of integers (not intrgers!) which are a subset of rational numbers. Rational numbers and irrational number, together, comprise real numbers.


A set which contains any irrational or complex numbers.


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Real numbers are defined as the set of rational numbers together with irrational numbers. So rationals are a subset of reals, by definition.


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