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current location:Mathematical operation > History of Inequality Computation > Answer
    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




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