\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Counter-example to density. Show that for a fixed \(q \in \mathbb{N}^*\), the set \(A_q = \{p/q : p \in \mathbb{Z}\}\) is not dense in \(\mathbb{R}\).
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