Q: Are all irrational numbers smaller than 1?

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All rational and irrational numbers are real numbers.

All irrational numbers are not rational.

All irrational numbers are real, but not all real numbers are irrational.

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

No, not at all. There are more irrational numbers between 1 and 2 than there are rational numbers in total!

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

All rational and irrational numbers are real numbers.

All irrational numbers are not rational.

All irrational numbers are real, but not all real numbers are irrational.

There is no such number. Irrational numbers are infinitely dense. Given any number near 13, there are more irrational numbers between that number and 13 than there are rational numbers in all.

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

No, none are irrational. All whole numbers are rational.If you think you have a whole number that is irrational, we'll call it q.q/ 1 is a ratio, i.e. it is rational. It is also equal to q.

No, not at all. There are more irrational numbers between 1 and 2 than there are rational numbers in total!

Ye it is true that all irrational numbers are real numbers that can't be expressed as fractions.

Quite the opposite. All natural numbers are rational. None of them are irrational.

All natural numbers are rational numbers. No irrational numbers are natural numbers.

There are infiitelt many subsets of irrational numbers. One possible subset is the set of all positive irrational numbers.