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[ 1/1Inequality]
Assignment:Find the solution set of inequality [1/(0.5x+1)]*[1/(0.5x+1)] >1/x+1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1 / ( 0.5 * x + 1 ) ) * ( 1 / ( 0.5 * x + 1 ) ) >1 / x + 1 (1)
From the definition field of divisor
0.5 * x + 1 ≠ 0 (2 )
From the definition field of divisor
0.5 * x + 1 ≠ 0 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From inequality(1):
-4.284278 < x < 0
From inequality(2):
x < -2 或 x > -2
From inequality(3):
x < -2 或 x > -2
From inequality(4):
x < 0 或 x > 0
From inequalities (1) and (2)
-4.284278 < x < -2 或 -2 < x < 0 (5)
From inequalities (3) and (5)
-4.284278 < x < -2 或 -2 < x < 0 (6)
From inequalities (4) and (6)
-4.284278 < x < -2 或 -2 < x < 0 (7)
The final solution set is :
-4.284278 < x < -2 或 -2 < x < 0 Your problem has not been solved here? Please take a look at the hot problems !