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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 1.544 >1/(1/x+1/3+1/71+1/1.3) >0.8656 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        1.544 >1 / ( 1 / x + 1 / 3 + 1 / 71 + 1 / 1.3 )         (1)
        1 / ( 1 / x + 1 / 3 + 1 / 71 + 1 / 1.3 ) >0.8656         (2)
        From the definition field of divisor
        x ≠ 0        (3 )
        From the definition field of divisor
         1 / x + 1 / 3 + 1 / 71 + 1 / 1.3 ≠ 0        (4 )

    From inequality(1):
         x < -2.132286 或  x > -0.895537
    From inequality(2):
         x < -0.895537 或  x > √83810549/√125000
    From inequality(3):
         x < 0 或  x > 0
    From inequality(4):
         x < -0.895537 或  -0.895537 < x < 0 或  x > 0

    From inequalities (1) and (2)
         x < -2.132286 或  x > √83810549/√125000    (5)
    From inequalities (3) and (5)
         x < -2.132286 或  x > √83810549/√125000    (6)
    From inequalities (4) and (6)
         x < -2.132286 或  x > √83810549/√125000    (7)

    The final solution set is :

         x < -2.132286 或  x > √83810549/√125000




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