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

    From inequality(1):
         x ≤ 0 或  0 ≤ x ≤ 0 或  x ≥ 0
    From inequality(2):
         x > -1

    From inequalities (1) and (2)
         -1 < x ≤ 0 或  0 ≤ x ≤ 0 或  x ≥ 0    (3)

    The final solution set is :

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




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