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Q: Are some irrational numbers not real?

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Real numbers can be rational or irrational because they both form the number line.

Irrational numbers are real numbers.

No. All irrational numbers are real, not all real numbers are irrational.

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.

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Real numbers can be rational or irrational because they both form the number line.

Some are and some aren't. 62 is real and rational. 1/3 is real and rational. sqrt(2) is real and irrational. (pi) is real and irrational.

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.

False. Irrational numbers are real numbers.

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

Irrational numbers are real numbers.

No. All irrational numbers are real, not all real numbers are irrational.

Irrational numbers are 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.

Irrational numbers are real numbers because they are part of the number line.

Pi and the square root of two are irrational numbers.