How does one represent a range like $[a,b]$ if the ^range^ is exactly $1$?
Just as the title suggests, I'm wondering how one represent a range like
$[a,b]$ if the ^range^ is exactly $1$? I ask because for the colleciton
$\mathscr{B}=\begin{Bmatrix}\begin{bmatrix}1,1+\frac{1}{n}\end{bmatrix}:n\in
\mathbb{N}\end{Bmatrix}=\{[1,2],[1,\frac{3}{2}],[1,\frac{3}{3}],\dots\}$
$$\bigcup_{B\in \mathscr{B}} B=\underbrace{???}_{\text{How do I represent
this as a set?}}$$