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1-x-1-5-6-3-6-x-x-2-gt-1-1-x-1-




Question Number 83610 by john santu last updated on 04/Mar/20
(1/(x−1)) + (5/(6−3(√(6+x−x^2 )))) > (1/(1+∣x−1∣))
$$\frac{\mathrm{1}}{\mathrm{x}−\mathrm{1}}\:+\:\frac{\mathrm{5}}{\mathrm{6}−\mathrm{3}\sqrt{\mathrm{6}+\mathrm{x}−\mathrm{x}^{\mathrm{2}} }}\:>\:\frac{\mathrm{1}}{\mathrm{1}+\mid\mathrm{x}−\mathrm{1}\mid} \\ $$
Commented by john santu last updated on 04/Mar/20
ans : [−2, −1) ∪ (1, (6/5)) ∪ (2,3 ]
$$\mathrm{ans}\::\:\left[−\mathrm{2},\:−\mathrm{1}\right)\:\cup\:\left(\mathrm{1},\:\frac{\mathrm{6}}{\mathrm{5}}\right)\:\cup\:\left(\mathrm{2},\mathrm{3}\:\right] \\ $$
Commented by jagoll last updated on 04/Mar/20
i think this problem is not a   simple solution
$$\mathrm{i}\:\mathrm{think}\:\mathrm{this}\:\mathrm{problem}\:\mathrm{is}\:\mathrm{not}\:\mathrm{a}\: \\ $$$$\mathrm{simple}\:\mathrm{solution} \\ $$

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