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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+[lg(1+x)/(1-x)/1-[lg(1+x)/(1-x)]} ) >(1-lg2)/(1+lg2) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 1 + ( lg ( 1 + x ) / ( 1 - x ) / 1 - ( lg ( 1 + x ) / ( 1 - x ) ) ) ) > ( 1 - lg 2 ) / ( 1 + lg 2 )         (1)
        From the definition field of lg
         1 + x > 0        (2 )
        From the definition field of divisor
         1 - x ≠ 0        (3 )
        From the definition field of lg
         1 + x > 0        (4 )
        From the definition field of divisor
         1 - x ≠ 0        (5 )

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         x > -1
    From inequality(3):
         x < 1 或  x > 1
    From inequality(4):
         x > -1
    From inequality(5):
         x < 1 或  x > 1

    From inequalities (1) and (2)
         x > -1    (6)
    From inequalities (3) and (6)
         -1 < x < 1 或  x > 1    (7)
    From inequalities (4) and (7)
         -1 < x < 1 或  x > 1    (8)
    From inequalities (5) and (8)
         -1 < x < 1 或  x > 1    (9)

    The final solution set is :

         -1 < x < 1 或  x > 1




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