At first we must prove that there is or is`t irrational numbers which does not contain digit 9!
if there are many kind of such numbers, then there is another question:
how to write down algebraic expression about set of such numbers?
2026-04-05 01:18:32.1775351912
Is there any kind of irrational number wich does not contain digit 9?
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There are uncountably many such. One way to see that is to take any irrational number in base $9$. There are no $9$'s in its expansion. Now read the expansion in base $10$. As repeating or not is independent of the base, it will still have no $9$'s in its expansion.