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.
No. Irrational numbers are real numbers, therefore it is not imaginary.
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.
False.
Ye it is true that all irrational numbers are real numbers that can't be expressed as fractions.
Yes.
No. The statement is wrong. It does not hold water.
No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.
if by Numbers you mean Integers, then the answer is TRUE. if it is real numbers, then it is false.
Irrational numbers are real numbers.
No. All irrational numbers are real, not all real numbers are irrational.
Irrational numbers are real numbers.
No. Irrational numbers by definition fall into the category of Real Numbers.
All irrational numbers are real, but not all real numbers are irrational.
The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.
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.