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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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