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