Question Number 164474 by mathocean1 last updated on 17/Jan/22
![E={x ∈ Q_+ :x^2 >3}. Show that E has not lower bound in Q. [Montrez que E n′admet pas de borne inferieure dans Q]](https://www.tinkutara.com/question/Q164474.png)
$${E}=\left\{{x}\:\in\:\mathbb{Q}_{+} :{x}^{\mathrm{2}} >\mathrm{3}\right\}.\: \\ $$$${Show}\:{that}\:{E}\:{has}\:{not}\:{lower}\:{bound} \\ $$$${in}\:\mathbb{Q}. \\ $$$$\left[{Montrez}\:{que}\:{E}\:{n}'{admet}\:{pas}\:{de}\:{borne}\right. \\ $$$$\left.{inferieure}\:{dans}\:\mathbb{Q}\right] \\ $$