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Assignment:Find the solution set of inequality 901.23 ≤2/3*14.3*3.14/4*sin(3.14*x)*sin(3.14*x)*sin(3.14*x)/3.14+x*14.3*(1-sin(2*3.14*x)/(2*3.14*x))/(1.25-3*x)*(sin(3.14*x)+sin(3.14*(1.25-2*x)))/3.14 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
901.23 ≤2 / 3 * 14.3 * 3.14 / 4 * sin ( 3.14 * x ) * sin ( 3.14 * x ) * sin ( 3.14 * x ) / 3.14 + x * 14.3 * ( 1 - sin ( 2 * 3.14 * x ) / ( 2 * 3.14 * x ) ) / ( 1.25 - 3 * x ) * ( sin ( 3.14 * x ) + sin ( 3.14 * ( 1.25 - 2 * x ) ) ) / 3.14 (1)
From the definition field of divisor
2 * 3.14 * 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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