不等式根号x-2/x-1≤1的解集是?|x-2/x-1|≤1的解集为?

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不等式根号x-2/x-1≤1的解集是?|x-2/x-1|≤1的解集为?
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不等式根号x-2/x-1≤1的解集是?|x-2/x-1|≤1的解集为?
不等式根号x-2/x-1≤1的解集是?|x-2/x-1|≤1的解集为?

不等式根号x-2/x-1≤1的解集是?|x-2/x-1|≤1的解集为?
√[(x-2)/(x-1)]≤1,0≤ (x-2)/(x-1)≤1,0≤1-1/(x-1)≤1,-1≤-1/(x-1)≤0,0≤1/(x-1)≤1,解得x≥2,原不等式的解集为[2,+∞);
|(x-2)/(x-1)|≤1,-1≤(x-2)/(x-1)≤1,-1≤1-1/(x-1)≤1,-2≤-1/(x-1)≤0,0≤1/(x-1)≤2,解得x≥3/2,原不等式的解集为[3/2,+∞).

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