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

    From inequality(1):
         x ≤ 0.192433 或  x ≥ 5.196623
    From inequality(2):
         x > -1
    From inequality(3):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         -1 < x ≤ 0.192433 或  x ≥ 5.196623    (4)
    From inequalities (3) and (4)
         -1 < x < 0 或  0 < x ≤ 0.192433 或  x ≥ 5.196623    (5)

    The final solution set is :

         -1 < x < 0 或  0 < x ≤ 0.192433 或  x ≥ 5.196623




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