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

    From inequality(1):
         -0.498153 ≤ x ≤ 1.877759
    From inequality(2):
         x < 0 或  x > 0
    From inequality(3):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    From inequalities (1) and (2)
         -0.498153 ≤ x < 0 或  0 < x ≤ 1.877759     (4)
    From inequalities (3) and (4)
         -0.498153 ≤ x < 0 或  0 < x ≤ 1.877759     (5)

    The final solution set is :

         -0.498153 ≤ x < 0 或  0 < x ≤ 1.877759




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