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Assignment:Find the solution set of inequality 880.180 ≤11225.5×(sin(180×x))^3÷9.425+1125.5x×(1-sin(180×2x)/(6.283x))×0.4375×(sin(180×x)+sin(180×(1.25-2x)))÷(3.1416×(1.25-3x)) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
880.180 ≤11225.5 × ( sin ( 180 × x ) ) ^ 3 ÷ 9.425 + 1125.5 * x × ( 1 - sin ( 180 × 2 * x ) / ( 6.283 * x ) ) × 0.4375 × ( sin ( 180 × x ) + sin ( 180 × ( 1.25 - 2 * x ) ) ) ÷ ( 3.1416 × ( 1.25 - 3 * x ) ) (1)
From the definition field of divisor
6.283 * x ≠ 0 (2 )
From inequality(1):
-0.552019 ≤ x ≤ -0.54752 或 -0.54752 ≤ x ≤ 0.006355 或 0.006355 ≤ x ≤ 0.011317 或 x ≥ 0.291528
From inequality(2):
x < 0 或 x > 0
From inequalities (1) and (2)
-0.552019 ≤ x ≤ -0.54752 或 -0.54752 ≤ x < 0 或 0 < x ≤ 0.006355 或 0.006355 ≤ x ≤ 0.011317 或 x ≥ 0.291528 (3)
The final solution set is :
-0.552019 ≤ x ≤ -0.54752 或 -0.54752 ≤ x < 0 或 0 < x ≤ 0.006355 或 0.006355 ≤ x ≤ 0.011317 或 x ≥ 0.291528Your problem has not been solved here? Please take a look at the hot problems !