Whakaoti mō x
x\in (-\infty,2)\cup [6,\infty)
Graph
Tohaina
Kua tāruatia ki te papatopenga
x-2>0 x-2<0
Kāore e taea a te tauraro x-2 te numa kore nā te mea kāore te rituatanga mā te kore e tautuhi. E rua ngā kēhi.
x>2
Whakaarohia te kēhi i ngā wā kei te tōrunga a x-2. Neke atu a -2 ki te taha matau.
x+2\leq 2\left(x-2\right)
Kāore te tōrite tuatahi e whakarerekē te aronga ina e whakarea ana mā x-2 mō x-2>0.
x+2\leq 2x-4
Whakarea te katoa o te taha matau.
x-2x\leq -2-4
Neke atu ngā kīanga tau e whai ana i x ki te taha mauī me ētahi atu kupu katoa ki te taha matau.
-x\leq -6
Pahekotia ngā kīanga tau ōrite.
x\geq 6
Whakawehea ngā taha e rua ki te -1. I te mea he tōraro a -1, ka huri te ahunga koreōrite.
x<2
Tēnā, me whakaarohia te tauira ina e tōraro a x-2. Neke atu a -2 ki te taha matau.
x+2\geq 2\left(x-2\right)
E whakarerekē ana te aronga o te tōrite tuatahi hei ngā wā e whakarea ana a x-2 mō x-2<0.
x+2\geq 2x-4
Whakarea te katoa o te taha matau.
x-2x\geq -2-4
Neke atu ngā kīanga tau e whai ana i x ki te taha mauī me ētahi atu kupu katoa ki te taha matau.
-x\geq -6
Pahekotia ngā kīanga tau ōrite.
x\leq 6
Whakawehea ngā taha e rua ki te -1. I te mea he tōraro a -1, ka huri te ahunga koreōrite.
x<2
Whakaarohia te herenga x<2 e tautuhi ana ki runga.
x\in (-\infty,2)\cup [6,\infty)
Ko te otinga whakamutunga ko te whakakotahi i ngā otinga kua whiwhi.
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