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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -1 ≤((x-1)/(2x-3)) ≤2 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-1 ≤ ( ( x - 1 ) / ( 2 * x - 3 ) ) (1)
( ( x - 1 ) / ( 2 * x - 3 ) ) ≤2 (2)
From the definition field of divisor
2 * x - 3 ≠ 0 (3 )
From inequality(1):
x ≤ 4/3 或 x ≥ 1.5
From inequality(2):
x ≤ 1.5 或 x ≥ 5/3
From inequality(3):
x < 3/2 或 x > 3/2
From inequalities (1) and (2)
x ≤ 4/3 或 1.5 ≤ x ≤ 1.5 或 x ≥ 5/3 (4)
From inequalities (3) and (4)
x ≤ 4/3 或 x ≥ 5/3 (5)
The final solution set is :
x ≤ 4/3 或 x ≥ 5/3Your problem has not been solved here? Please take a look at the hot problems !