EDB — 0S2

Exercises

1. [0S2] Let us fix \(𝛼∈ℝ\), consider the set \(A\) of numbers of the form \(𝛼 n + m\) with \(n,m\) integers. Show that \(A\) is dense in \(ℝ\) if and only if \(𝛼\) is irrational.

   Solution 1

   [0S3]↺↻