Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality sqrtx/x+(log(x,x-1))+asinx <10000 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         sqrt x / x + ( log( x , x - 1 ) ) + arcsin x <10000         (1)
        From the definition field of √
        x ≥ 0        (2 )
        From the definition field of divisor
        x ≠ 0        (3 )
        From the definition field of log
         x > 0        (4 )
         x - 1 > 0 also ≠ 1        (5 )
        From the definition field of arcsin
        x ≥ -1        (6 )
        x ≤ 1        (7 )

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    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 < 0 或  x ＞ 0
    From inequality(4)：
         x ＞ 0
    From inequality(5)：
         1 < x < 2 或  x ＞ 2
    From inequality(6)：
         x ≥ -1
    From inequality(7)：
         x ≤ 1

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    From inequalities (1) and (2)
         x ≥ 0    (8)
    From inequalities (3) and (8)
         x ＞ 0    (9)
    From inequalities (4) and (9)
         x ＞ 0    (10)
    From inequalities (5) and (10)
         1 < x < 2 或  x ＞ 2    (11)
    From inequalities (6) and (11)
         1 < x < 2 或  x ＞ 2    (12)
    From inequalities (7) and (12)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (13)

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    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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