Whakaoti mō x
x\in (1,\frac{396508987014356483}{196508987014356483}]
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Tohaina
Kua tāruatia ki te papatopenga
\frac{x - 2}{x - 1} \leq 0.017455064928217585
Evaluate trigonometric functions in the problem
x-1>0 x-1<0
Kāore e taea a te tauraro x-1 te numa kore nā te mea kāore te rituatanga mā te kore e tautuhi. E rua ngā kēhi.
x>1
Whakaarohia te kēhi i ngā wā kei te tōrunga a x-1. Neke atu a -1 ki te taha matau.
x-2\leq 0.017455064928217585\left(x-1\right)
Kāore te tōrite tuatahi e whakarerekē te aronga ina e whakarea ana mā x-1 mō x-1>0.
x-2\leq 0.017455064928217585x-0.017455064928217585
Whakarea te katoa o te taha matau.
x-0.017455064928217585x\leq 2-0.017455064928217585
Neke atu ngā kīanga tau e whai ana i x ki te taha mauī me ētahi atu kupu katoa ki te taha matau.
0.982544935071782415x\leq 1.982544935071782415
Pahekotia ngā kīanga tau ōrite.
x\leq \frac{396508987014356483}{196508987014356483}
Whakawehea ngā taha e rua ki te 0.982544935071782415. I te mea he tōrunga te 0.982544935071782415, kāore e huri te ahunga koreōrite.
x\in (1,\frac{396508987014356483}{196508987014356483}]
Whakaarohia te herenga x>1 e tautuhi ana ki runga.
x<1
Tēnā, me whakaarohia te tauira ina e tōraro a x-1. Neke atu a -1 ki te taha matau.
x-2\geq 0.017455064928217585\left(x-1\right)
E whakarerekē ana te aronga o te tōrite tuatahi hei ngā wā e whakarea ana a x-1 mō x-1<0.
x-2\geq 0.017455064928217585x-0.017455064928217585
Whakarea te katoa o te taha matau.
x-0.017455064928217585x\geq 2-0.017455064928217585
Neke atu ngā kīanga tau e whai ana i x ki te taha mauī me ētahi atu kupu katoa ki te taha matau.
0.982544935071782415x\geq 1.982544935071782415
Pahekotia ngā kīanga tau ōrite.
x\geq \frac{396508987014356483}{196508987014356483}
Whakawehea ngā taha e rua ki te 0.982544935071782415. I te mea he tōrunga te 0.982544935071782415, kāore e huri te ahunga koreōrite.
x\in \emptyset
Whakaarohia te herenga x<1 e tautuhi ana ki runga.
x\in (1,\frac{396508987014356483}{196508987014356483}]
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