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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 x/arcsin(x/2) ≥0.9 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x / arcsin ( x / 2 ) ≥0.9         (1)
        From the definition field of arcsin
         x / 2 ≥ -1        (2 )
         x / 2 ≤ 1        (3 )

    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 ≥ -2
    From inequality(3):
         x ≤ 2

    From inequalities (1) and (2)
         x ≥ -2    (4)
    From inequalities (3) and (4)
         -2 ≤ x ≤ 2    (5)

    The final solution set is :

         -2 ≤ x ≤ 2




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