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Assignment:Find the solution set of inequality (x-2)/(x-1) >= 2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x - 2 ) / ( x - 1 ) >= 2 (1)
From the definition field of divisor
x - 1 ≠ 0 (2 )
From inequality(1):
0 ≤ x ≤ 1
From inequality(2):
x < 1 或 x > 1
From inequalities (1) and (2)
0 ≤ x < 1 (3)
The final solution set is :
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