найдите целые решения неравенства 7x/x-1 >= 9. Created by elinarubezhova. algebra-ru

x-1 >= 9...

elinarubezhova @elinarubezhova

August 2022 1 5 Report

найдите целые решения неравенства
7x/x-1 >= 9

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$\frac{7x}{x-1}\geq9\\\\\frac{7x}{x-1}-9\geq0\\\\\frac{7x-9x+9}{x-1}\geq0\\\\\frac{-2x+9}{x-1}\geq0\\\\\frac{-2(x-4,5)}{x-1}\geq0\\\\\frac{x-4,5}{x-1}\leq0$

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_____(1)_____[4,5]_____

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x ∈ (1 ; 4,5]

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