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Assignment:Find the solution set of inequality 880.180 ≤2/3×14.3×1000×0.785×(sin3.1416x)/3.1416+(x×14.3×0.785×(1-((sin2×3.1416x)/(2×3.1416x)))/(1.25-3x)×0.4375/3.1416×((sin3.1416x)+sin(1-2x)) ) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
880.180 ≤2 / 3 × 14.3 × 1000 × 0.785 × ( sin 3.1416 * x ) / 3.1416 + ( x × 14.3 × 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):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < 0.416667 或 x > 0.416667
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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