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let-X-R-wth-the-usual-metric-prove-that-the-open-and-bounded-interval-A-1-2-is-an-open-set-in-R-




Question Number 134940 by Oyins last updated on 08/Mar/21
let X=R wth the usual metric. prove that the open  and bounded interval A=(1,2) is an open set in R.
$${let}\:{X}=\mathbb{R}\:{wth}\:{the}\:{usual}\:{metric}.\:{prove}\:{that}\:{the}\:{open} \\ $$$${and}\:{bounded}\:{interval}\:{A}=\left(\mathrm{1},\mathrm{2}\right)\:{is}\:{an}\:{open}\:{set}\:{in}\:\mathbb{R}. \\ $$

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