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[ 1/1Inequality]
Assignment:Find the solution set of inequality -4000-1000/(1+x)+600(1-(1+x)^29)/(1-x)(1+x)^2 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-4000 - 1000 / ( 1 + x ) + 600 * ( 1 - ( 1 + x ) ^ 29 ) / ( 1 - x ) * ( 1 + x ) ^ 2 >0 (1)
From the definition field of divisor
1 + x ≠ 0 (2 )
From the definition field of divisor
1 - x ≠ 0 (3 )
From inequality(1):
x < -2.090553 或 -1.251054 < x < -1 或 x > 1
From inequality(2):
x < -1 或 x > -1
From inequality(3):
x < 1 或 x > 1
From inequalities (1) and (2)
x < -2.090553 或 -1.251054 < x < -1 或 x > 1 (4)
From inequalities (3) and (4)
x < -2.090553 或 -1.251054 < x < -1 或 x > 1 (5)
The final solution set is :
x < -2.090553 或 -1.251054 < x < -1 或 x > 1Your problem has not been solved here? Please take a look at the hot problems !