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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1/i-1/i(1+i)^7 <4.167 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / i - 1 / i * ( 1 + i ) ^ 7 <4.167 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
i ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
i < 0 或 i > 0
From inequality(3):
i < 0 或 i > 0
From inequalities (1) and (2)
i < 0 或 i > 0 (4)
From inequalities (3) and (4)
i < 0 或 i > 0 (5)
The final solution set is :
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