Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 3 questions will be solved this time.Among them
           ☆3 inequalities

[ 1/3Inequality]
    Assignment:Find the solution set of inequality ex >x+1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         e x > x + 1         (1)

    From inequality(1):
         x < 0 或  x > 0

    The final solution set is :

         x < 0 或  x > 0

[ 2/3Inequality]
    Assignment:Find the solution set of inequality lnx     Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ln x < x - 1         (1)
        From the definition field of ln
        x > 0        (2 )

    From inequality(1):
         x < 1 或  x > 1
    From inequality(2):
         x > 0

    From inequalities (1) and (2)
         0 < x < 1 或  x > 1    (3)

    The final solution set is :

         0 < x < 1 或  x > 1

[ 3/3Inequality]
    Assignment:Find the solution set of inequality ex >lnx+2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         e x > ln x + 2         (1)
        From the definition field of ln
        x > 0        (2 )

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         x > 0

    From inequalities (1) and (2)
         x > 0    (3)

    The final solution set is :

         x > 0




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