Mathematics
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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+sqrt(x^2+1))     Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ln ( x + sqrt ( x ^ 2 + 1 ) ) < x         (1)
        From the definition field of √
         x ^ 2 + 1 ≥ 0        (2 )
        From the definition field of ln
         x + sqrt ( x ^ 2 + 1 ) > 0        (3 )

    From inequality(1):
         x > -3/500000
    From inequality(2):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3):
         x < -9411.73642 或  x > -9411.73642

    From inequalities (1) and (2)
         x > -3/500000    (4)
    From inequalities (3) and (4)
         x > -3/500000    (5)

    The final solution set is :

         x > -3/500000




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