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Assignment:Find the solution set of inequality (-10000+8000/(1+x)+2500/(1+x)^2+2000/(1+x)^3) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -10000 + 8000 / ( 1 + x ) + 2500 / ( 1 + x ) ^ 2 + 2000 / ( 1 + x ) ^ 3 ) >0 (1)
From the definition field of divisor
1 + x ≠ 0 (2 )
From the definition field of divisor
1 + x ≠ 0 (3 )
From the definition field of divisor
1 + x ≠ 0 (4 )
From inequality(1):
-1.0001 < x < 0.162881
From inequality(2):
x < -1 或 x > -1
From inequality(3):
x < -1 或 x > -1
From inequality(4):
x < -1 或 x > -1
From inequalities (1) and (2)
-1.0001 < x < -1 或 -1 < x < 0.162881 (5)
From inequalities (3) and (5)
-1.0001 < x < -1 或 -1 < x < 0.162881 (6)
From inequalities (4) and (6)
-1.0001 < x < -1 或 -1 < x < 0.162881 (7)
The final solution set is :
-1.0001 < x < -1 或 -1 < x < 0.162881 Your problem has not been solved here? Please take a look at the hot problems !