(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let [tex]Q[/tex] be the set of all rational numbers

Prove [tex]bd(Q)=R[/tex]

2. Relevant equations

3. The attempt at a solution

Let x be a real number, then since the interval |x-r| contains both rationals and irrationals for arbitrary small r, so R is the boundary of Q. Is that right?

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# Homework Help: Prove the boundary of rationals is real

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