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x-y-R-such-that-x-1-and-y-1-Show-that-if-x-y-then-1-x-1-1-y-1-




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

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