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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/(0.5x+1)]*[1/(0.5x+1)] >1/x+1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 1 / ( 0.5 * x + 1 ) ) * ( 1 / ( 0.5 * x + 1 ) ) >1 / x + 1         (1)
        From the definition field of divisor
         0.5 * x + 1 ≠ 0        (2 )
        From the definition field of divisor
         0.5 * x + 1 ≠ 0        (3 )
        From the definition field of divisor
        x ≠ 0        (4 )

    From inequality(1):
         -4.284278 < x < 0
    From inequality(2):
         x < -2 或  x > -2
    From inequality(3):
         x < -2 或  x > -2
    From inequality(4):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         -4.284278 < x < -2 或  -2 < x < 0     (5)
    From inequalities (3) and (5)
         -4.284278 < x < -2 或  -2 < x < 0     (6)
    From inequalities (4) and (6)
         -4.284278 < x < -2 或  -2 < x < 0     (7)

    The final solution set is :

         -4.284278 < x < -2 或  -2 < x < 0




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