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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 lnx+asinx+sqrt(-x) >-1000000000 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ln x + arcsin x + sqrt ( -x ) > -1000000000         (1)
        From the definition field of ln
        x > 0        (2 )
        From the definition field of arcsin
        x ≥ -1        (3 )
        x ≤ 1        (4 )
        From the definition field of √
         -x ≥ 0        (5 )

    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 inequality(3):
         x ≥ -1
    From inequality(4):
         x ≤ 1
    From inequality(5):
         x ≤ 0

    From inequalities (1) and (2)
         x > 0    (6)
    From inequalities (3) and (6)
         x > 0    (7)
    From inequalities (4) and (7)
         0 < x ≤ 1     (8)
    From inequalities (5) and (8)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (9)

    The final solution set is :

        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!




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