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

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

    From inequality(1):
        The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
    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):
         -4 ≤ x ≤ -2
    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

    The final solution set is :

        The solution set is empty,that is, the inequality will never be estatlished within the real number range.




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