Mathematics
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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 6ln(2+sinx)-3 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        6 * ln ( 2 + sin x ) - 3 >0         (1)
        From the definition field of ln
         2 + sin x > 0        (2 )

    From inequality(1):
         -12.925307 < x < -9.065841 或  -6.642122 < x < -2.782656 或  -0.358937 < x < 3.500529 或  5.924249 < x < 9.783714 或  12.207434 < x < 16.0669
    From inequality(2):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    From inequalities (1) and (2)
         -12.925307 < x < -9.065841 或  -6.642122 < x < -2.782656 或  -0.358937 < x < 3.500529 或  5.924249 < x < 9.783714 或  12.207434 < x < 16.0669     (3)

    The final solution set is :

         -12.925307 < x < -9.065841 或  -6.642122 < x < -2.782656 或  -0.358937 < x < 3.500529 或  5.924249 < x < 9.783714 或  12.207434 < x < 16.0669

    *Note: Radian.



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