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[ 1/1Inequality]
Assignment:Find the solution set of inequality 1 <(x-1)/(1-2*x) ≤2 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
1 < ( x - 1 ) / ( 1 - 2 * x ) (1)
( x - 1 ) / ( 1 - 2 * x ) ≤2 (2)
From the definition field of divisor
1 - 2 * x ≠ 0 (3 )
From inequality(1):
0.5 < x < 2/3
From inequality(2):
x ≤ 0.5 或 x ≥ 3/5
From inequality(3):
x < 1/2 或 x > 1/2
From inequalities (1) and (2)
3/5 ≤ x < 2/3 (4)
From inequalities (3) and (4)
3/5 ≤ x < 2/3 (5)
The final solution set is :
3/5 ≤ x < 2/3Your problem has not been solved here? Please take a look at the hot problems !