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No. Although there are infinitely many of either, there are more Irrational Numbers than rational numbers.

The cardinality of the set of rational numbers is À0 (Aleph-null) while the cardinality of the set of irrational numbers is 2À0.

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โˆ™ 2013-12-28 16:16:13
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Q: Are the sets of rational and irrational numbers equal?
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Related questions

Are rational numbers sometime irrational?

No, they are disjoint sets: no rational is irrational and no irrational is rational.


The rational numbers are a subset of the irrational numbers?

No, they are complementary sets. No rational number is irrational and no irrational number is rational.Irrational means not rational.


Can some numbers be rational and irrational?

No. The intersection of the two sets is null. Irrational numbers are defined as real numbers that are NOT rational.


What numbers are The union of the rational and irrational numbers?

The real numbers.


What is the union of the sets of rational and irrational numbers?

The real numbers.


How are rational and irrational numbers similar?

Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)


Are irrational numbers rational numbers?

No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.


Are some rational numbers also irrational numbers?

No, they are disjoint sets.


Can a real number that is not a rational number be an irrational number?

Yes it will be. The set of real numbers can be divided into two distinct sets: rational and irrational. So if it is not rational, then it is irrational.


Set and the different of sets?

there are 5 diffeerent sets Natural Numbers whole numbers integers rational numbers irrational numbers.


Can you give me an example of an infinite set?

The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.


What is the set of numbers made of rational numbers and irrational numbers?

These two sets together make up the set of real numbers.

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