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

    From inequality(1):
         x < 660.887692 或  660.887692 < x < 669.456285 或  669.456285 < x < 679.387592 或  x > 679.387592
    From inequality(2):
         x > -1
    From inequality(3):
         x > 1
    From inequality(4):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         -1 < x < 660.887692 或  660.887692 < x < 669.456285 或  669.456285 < x < 679.387592 或  x > 679.387592    (5)
    From inequalities (3) and (5)
         1 < x < 660.887692 或  660.887692 < x < 669.456285 或  669.456285 < x < 679.387592 或  x > 679.387592    (6)
    From inequalities (4) and (6)
         1 < x < 660.887692 或  660.887692 < x < 669.456285 或  669.456285 < x < 679.387592 或  x > 679.387592    (7)

    The final solution set is :

         1 < x < 660.887692 或  660.887692 < x < 669.456285 或  669.456285 < x < 679.387592 或  x > 679.387592




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