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

[ 1/1Inequality]
    Assignment:Find the solution set of inequality asin(x-acos(x-asin(x-acos(x-1)))) <91 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         arcsin ( x - arccos ( x - arcsin ( x - arccos ( x - 1 ) ) ) ) <91         (1)
        From the definition field of arccos
         x - 1 ≥ -1        (2 )
         x - 1 ≤ 1        (3 )
        From the definition field of arcsin
         x - arccos ( x - 1 ) ≥ -1        (4 )
         x - arccos ( x - 1 ) ≤ 1        (5 )
        From the definition field of arccos
         x - arcsin ( x - arccos ( x - 1 ) ) ≥ -1        (6 )
         x - arcsin ( x - arccos ( x - 1 ) ) ≤ 1        (7 )
        From the definition field of arcsin
         x - arccos ( x - arcsin ( x - arccos ( x - 1 ) ) ) ≥ -1        (8 )
         x - arccos ( x - arcsin ( x - arccos ( x - 1 ) ) ) ≤ 1        (9 )

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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 ≤ 2
    From inequality(4)：
         x ≤ 0 或  x ≥ 0.786229
    From inequality(5)：
         x ≤ 1.739085
    From inequality(6)：
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(7)：
         x ≤ 0.786229 或  x ≥ 1.520633
    From inequality(8)：
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(9)：
         x ≥ 1.623092

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    From inequalities (1) and (2)
         x ≥ 0    (10)
    From inequalities (3) and (10)
         0 ≤ x ≤ 2    (11)
    From inequalities (4) and (11)
         0 ≤ x ≤ 0 或  0.786229 ≤ x ≤ 2    (12)
    From inequalities (5) and (12)
         0 ≤ x ≤ 0 或  0.786229 ≤ x ≤ 1.739085    (13)
    From inequalities (6) and (13)
         0 ≤ x ≤ 0 或  0.786229 ≤ x ≤ 1.739085    (14)
    From inequalities (7) and (14)
         0 ≤ x ≤ 0 或  0.786229 ≤ x ≤ 0.786229 或  1.520633 ≤ x ≤ 1.739085    (15)
    From inequalities (8) and (15)
         0 ≤ x ≤ 0 或  0.786229 ≤ x ≤ 0.786229 或  1.520633 ≤ x ≤ 1.739085    (16)
    From inequalities (9) and (16)
         1.623092 ≤ x ≤ 1.739085    (17)

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    The final solution set is :
         1.623092 ≤ x ≤ 1.739085
    *Note: Radian.

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