Question Number 159638 by mathocean1 last updated on 19/Nov/21
$${x}\:,\:{y}\:\in\:\mathbb{R}\:{such}\:{that}\:{x}\neq\mathrm{1}\:{and}\:{y}\neq\mathrm{1}. \\ $$$${Show}\:{that}\: \\ $$$${if}\:{x}\neq{y}\:{then}\:\frac{\mathrm{1}}{{x}−\mathrm{1}}\neq\frac{\mathrm{1}}{{y}−\mathrm{1}} \\ $$