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

[ 1/1Inequality]
    Assignment:Find the solution set of inequality arcsin((x+1)*(x+1))-arcsin(x*x) >1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         arcsin ( ( x + 1 ) * ( x + 1 ) ) - arcsin ( x * x ) >1         (1)
        From the definition field of arcsin
         ( x + 1 ) * ( x + 1 ) ≥ -1        (2 )
         ( x + 1 ) * ( x + 1 ) ≤ 1        (3 )
        From the definition field of arcsin
         x * x ≥ -1        (4 )
         x * x ≤ 1        (5 )

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    From inequality(1)：
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!
    From inequality(2)：
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3)：
         -2 ≤ x ≤ 0
    From inequality(4)：
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(5)：
         -1 ≤ x ≤ 1

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

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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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