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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 ≤2/3×14.3×1000×0.785×0.5×(sin(3.1416x))^3/3.1416+(x×14.3×1000×0.785×(1-sin(2×3.1416x)/(2×3.1416x))/(1.25-3x)×0.4375/3.1416×((sin(3.1416x)+sin(1-2x)) ) ) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        880.180 ≤2 / 3 × 14.3 × 1000 × 0.785 × 0.5 × ( sin ( 3.1416 * x ) ) ^ 3 / 3.1416 + ( x × 14.3 × 1000 × 0.785 × ( 1 - sin ( 2 × 3.1416 * x ) / ( 2 × 3.1416 * x ) ) / ( 1.25 - 3 * x ) × 0.4375 / 3.1416 × ( ( sin ( 3.1416 * x ) + sin ( 1 - 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):
         x ≤ -11.346318 或  -5.551781 ≤ x ≤ -5.389406 或  -1.6412 ≤ x ≤ -1.394777 或  0.261638 ≤ x ≤ 0.416667 或  1.064028 ≤ x ≤ 1.185008 或  x ≥ 4.345156
    From inequality(2):
         x < 0 或  x > 0
    From inequality(3):
         x < 0.416667 或  x > 0.416667

    From inequalities (1) and (2)
         x ≤ -11.346318 或  -5.551781 ≤ x ≤ -5.389406 或  -1.6412 ≤ x ≤ -1.394777 或  0.261638 ≤ x ≤ 0.416667 或  1.064028 ≤ x ≤ 1.185008 或  x ≥ 4.345156    (4)
    From inequalities (3) and (4)
         x ≤ -11.346318 或  -5.551781 ≤ x ≤ -5.389406 或  -1.6412 ≤ x ≤ -1.394777 或  0.261638 ≤ x < 0.416667 或  1.064028 ≤ x ≤ 1.185008 或  x ≥ 4.345156    (5)

    The final solution set is :

         x ≤ -11.346318 或  -5.551781 ≤ x ≤ -5.389406 或  -1.6412 ≤ x ≤ -1.394777 或  0.261638 ≤ x < 0.416667 或  1.064028 ≤ x ≤ 1.185008 或  x ≥ 4.345156




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