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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 3.333 <(i+1)^7-1/i*(1+i)^7 <4.167 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
3.333 < ( i + 1 ) ^ 7 - 1 / i * ( 1 + i ) ^ 7 (1)
( i + 1 ) ^ 7 - 1 / i * ( 1 + i ) ^ 7 <4.167 (2)
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
-0.128907 < i < 0 或 i > 1.024498
From inequality(2):
i < -0.11432 或 0 < i < 1.030198
From inequality(3):
i < 0 或 i > 0
From inequalities (1) and (2)
-0.128907 < i < -0.11432 或 1.024498 < i < 1.030198 (4)
From inequalities (3) and (4)
-0.128907 < i < -0.11432 或 1.024498 < i < 1.030198 (5)
The final solution set is :
-0.128907 < i < -0.11432 或 1.024498 < i < 1.030198 Your problem has not been solved here? Please take a look at the hot problems !