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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 880.180 ≤2/3×14.3×785×0.5×(sin(180x))^3/3.1416+(x×14.3×785×(1-sin(2×180x)/(2×3.1416x))/(1.25-3x)×0.4375/3.1416×((sin(180x)+sin(180×(1.25-2x))) ) ) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        880.180 ≤2 / 3 × 14.3 × 785 × 0.5 × ( sin ( 180 * x ) ) ^ 3 / 3.1416 + ( x × 14.3 × 785 × ( 1 - sin ( 2 × 180 * x ) / ( 2 × 3.1416 * x ) ) / ( 1.25 - 3 * x ) × 0.4375 / 3.1416 × ( ( sin ( 180 * x ) + sin ( 180 × ( 1.25 - 2 * x ) ) ) ) )         (1)
        From the definition field of divisor
         2 × 3.1416 * x ≠ 0        (2 )
        From the definition field of divisor
         1.25 - 3 * x ≠ 0        (3 )

    From inequality(1):
         0.007066 ≤ x ≤ 0.012402 或  0.293721 ≤ x ≤ 0.434222
    From inequality(2):
         x < 0 或  x > 0
    From inequality(3):
         x < 0.416667 或  x > 0.416667

    From inequalities (1) and (2)
         0.007066 ≤ x ≤ 0.012402 或  0.293721 ≤ x ≤ 0.434222    (4)
    From inequalities (3) and (4)
         0.007066 ≤ x ≤ 0.012402 或  0.293721 ≤ x < 0.416667 或  0.416667 < x ≤ 0.434222     (5)

    The final solution set is :

         0.007066 ≤ x ≤ 0.012402 或  0.293721 ≤ x < 0.416667 或  0.416667 < x ≤ 0.434222




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