Prove: Ifxandyare real numbers withx<y, then there are infinitely many irrational numbers in the interval [x,y].

I know I can use mathematical induction to prove this. I just don't know how.

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- Feb 26th 2009, 08:13 AMjohnnymath345Homework Help with real analysis
Prove: If

*x*and*y*are real numbers with*x*<*y*, then there are infinitely many irrational numbers in the interval [*x*,*y*].

I know I can use mathematical induction to prove this. I just don't know how. - Feb 26th 2009, 08:26 AMtah