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[ 1/1Inequality]
Assignment:Find the solution set of inequality (1/x)+2 >(4/x)-4 >3x .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
( 1 / x ) + 2 > ( 4 / x ) - 4 (1)
From the definition field of divisor
x ≠ 0 (2 )
( 4 / x ) - 4 >3 * x (3)
From the definition field of divisor
x ≠ 0 (4 )
From inequality(1):
x < 0 或 x > 1/2
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < -2 或 0 < x < 2/3
From inequality(4):
x < 0 或 x > 0
From inequalities (1) and (2)
x < 0 或 x > 1/2 (5)
From inequalities (3) and (5)
x < -2 或 1/2 < x < 2/3 (6)
From inequalities (4) and (6)
x < -2 或 1/2 < x < 2/3 (7)
The final solution set is :
x < -2 或 1/2 < x < 2/3 Your problem has not been solved here? Please take a look at the hot problems !