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 2*(3/10+5229670409655129/90071992547409920) <= sin(alpha) <= 2*(26295227247788973/2251799813685248-2/5) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        2 * ( 3 / 10 + 5229670409655129 / 90071992547409920 ) <= sin ( alpha )         (1)
         sin ( alpha ) <= 2 * ( 26295227247788973 / 2251799813685248 - 2 / 5 )         (2)

    From inequality(1):
         alpha ≤ -16.506194 或  -11.76814 ≤ alpha ≤ -10.223008 或  -5.484955 ≤ alpha ≤ -3.939823 或  0.79823 ≤ alpha ≤ 2.343362 或  7.081416 ≤ alpha ≤ 8.626548 或  alpha ≥ 13.364601
    From inequality(2):
         alpha ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    From inequalities (1) and (2)
         alpha ≤ -16.506194 或  -11.76814 ≤ alpha ≤ -10.223008 或  -5.484955 ≤ alpha ≤ -3.939823 或  0.79823 ≤ alpha ≤ 2.343362 或  7.081416 ≤ alpha ≤ 8.626548 或  alpha ≥ 13.364601    (3)

    The final solution set is :

         alpha ≤ -16.506194 或  -11.76814 ≤ alpha ≤ -10.223008 或  -5.484955 ≤ alpha ≤ -3.939823 或  0.79823 ≤ alpha ≤ 2.343362 或  7.081416 ≤ alpha ≤ 8.626548 或  alpha ≥ 13.364601

    *Note: Radian.



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