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Assignment:Find the solution set of inequality 437.09 ≤(2÷3×14.3×500^3×(sin(3.14x))^3)+((14.3×500^2×x×(1-(sin(2×3.14x))÷(2×3.14x)))÷(1.25-3x)×500×(sin(3.14x)+sin(3.14×(1.25-2x)))) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
437.09 ≤ ( 2 ÷ 3 × 14.3 × 500 ^ 3 × ( sin ( 3.14 * x ) ) ^ 3 ) + ( ( 14.3 × 500 ^ 2 × x × ( 1 - ( sin ( 2 × 3.14 * x ) ) ÷ ( 2 × 3.14 * x ) ) ) ÷ ( 1.25 - 3 * x ) × 500 × ( sin ( 3.14 * x ) + sin ( 3.14 × ( 1.25 - 2 * x ) ) ) ) (1)
From inequality(1):
x ≤ -2.839216 或 -2.295248 ≤ x ≤ -1.91258 或 -1.615813 ≤ x ≤ -0.843699 或 0.002432 ≤ x ≤ 0.416667 或 0.700451 ≤ x ≤ 1.175916 或 x ≥ 1.643704
The final solution set is :
x ≤ -2.839216 或 -2.295248 ≤ x ≤ -1.91258 或 -1.615813 ≤ x ≤ -0.843699 或 0.002432 ≤ x ≤ 0.416667 或 0.700451 ≤ x ≤ 1.175916 或 x ≥ 1.643704 *Note: Radian.Your problem has not been solved here? Please take a look at the hot problems !