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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 3/10+5229670409655129/90071992547409920 <= sin(alpha)/2 <= 26295227247788973/22517998136852480-7/10 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        3 / 10 + 5229670409655129 / 90071992547409920 <= sin ( alpha ) / 2         (1)
         sin ( alpha ) / 2 <= 26295227247788973 / 22517998136852480 - 7 / 10         (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):
         -16.917593 ≤ alpha ≤ -11.356741 或  -10.634408 ≤ alpha ≤ -5.073555 或  -4.351223 ≤ alpha ≤ 1.20963 或  1.931963 ≤ alpha ≤ 7.492815 或  8.215148 ≤ alpha ≤ 13.776001

    From inequalities (1) and (2)
         -16.917593 ≤ alpha ≤ -16.506194 或  -11.76814 ≤ alpha ≤ -11.356741 或  -10.634408 ≤ alpha ≤ -10.223008 或  -5.484955 ≤ alpha ≤ -5.073555 或  -4.351223 ≤ alpha ≤ -3.939823 或  0.79823 ≤ alpha ≤ 1.20963 或  1.931963 ≤ alpha ≤ 2.343362 或  7.081416 ≤ alpha ≤ 7.492815 或  8.215148 ≤ alpha ≤ 8.626548 或  13.364601 ≤ alpha ≤ 13.776001    (3)

    The final solution set is :

         -16.917593 ≤ alpha ≤ -16.506194 或  -11.76814 ≤ alpha ≤ -11.356741 或  -10.634408 ≤ alpha ≤ -10.223008 或  -5.484955 ≤ alpha ≤ -5.073555 或  -4.351223 ≤ alpha ≤ -3.939823 或  0.79823 ≤ alpha ≤ 1.20963 或  1.931963 ≤ alpha ≤ 2.343362 或  7.081416 ≤ alpha ≤ 7.492815 或  8.215148 ≤ alpha ≤ 8.626548 或  13.364601 ≤ alpha ≤ 13.776001

    *Note: Radian.



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