Mathematics
语言:中文
Language:English

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

    From inequality(1):
         x ≤ 0 或  x ≥ 0.284025
    From inequality(2):
         x > -1
    From inequality(3):
         x ≥ 0

    From inequalities (1) and (2)
         -1 < x ≤ 0 或  x ≥ 0.284025    (4)
    From inequalities (3) and (4)
         0 ≤ x ≤ 0 或  x ≥ 0.284025    (5)

    The final solution set is :

         0 ≤ x ≤ 0 或  x ≥ 0.284025




Your problem has not been solved here? Please take a look at the  hot problems !


Return