Yes Irrational Numbers are real numbers that are part of the number line,
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yes. an irrational number is any real number that is not a rational number
An irrational number is any real number that cannot be expressed as a ratio of two integers.So yes, an irrational number IS a real number.There is also a set of numbers called transcendental numbers, which includes both real and complex/imaginary numbers. Of this set, all the real numbers are irrational numbers.
Yes it's a real number but it is an irrational number because it can't be expressed as a fraction.
Yes.
For any given subset, yes, because there are an infinite number of irrational numbers for each rational number. But for the set of ALL real numbers, both are infinite in number, even though the vast majority of real numbers would be irrational.