Let $\displaystyle a,b \epsilon R, $ with $\displaystyle a<b $. Show that there exists a number $\displaystyle x\epsilon R $ such that $\displaystyle a<x<b, $ with $\displaystyle x $ rational or not rational, as we wish.
Thank you!!!!
Let $\displaystyle a,b \epsilon R, $ with $\displaystyle a<b $. Show that there exists a number $\displaystyle x\epsilon R $ such that $\displaystyle a<x<b, $ with $\displaystyle x $ rational or not rational, as we wish.
Thank you!!!!