For any positive real number x, prove that there exist an irrational number y such that 0 Question For any positive real number x, prove that there exist an irrational number y such that 0 in progress 0 Math Emery 4 days 2021-10-11T15:16:47+00:00 2021-10-11T15:16:47+00:00 1 Answer 0 views 0

## Answers ( )

Correct Question:-For any positive real number x, prove that there exist an irrational number y such that 0 < y < x

AnswEr:-★ If x is irrational,

Then is also an irrational number such that 0 < y < x.

★ If x is rational,

Then is an irrational such that

Hence, for any positive real number x,

there exists an irrational numbery such that0 < y < x.