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Assignment:Find the solution set of inequality ((1+x)^7-1)/(x*(1+x)^7) >2.5 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( 1 + x ) ^ 7 - 1 ) / ( x * ( 1 + x ) ^ 7 ) >2.5 (1)
From the definition field of divisor
x * ( 1 + x ) ^ 7 ≠ 0 (2 )
From inequality(1):
-1.019254 < x < 0.35141
From inequality(2):
x < -1 或 -1 < x < 0 或 x > 0
From inequalities (1) and (2)
-1.019254 < x < -1 或 -1 < x < 0 或 0 < x < 0.35141 (3)
The final solution set is :
-1.019254 < x < -1 或 -1 < x < 0 或 0 < x < 0.35141 Your problem has not been solved here? Please take a look at the hot problems !