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Assignment:Find the solution set of inequality (10^(-6))+(10^(-21))*(x^2) >= (5*(10^(-6))*x+500)/((2501*x+(10^8))*(11/20)) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 10 ^ ( -6 ) ) + ( 10 ^ ( -21 ) ) * ( x ^ 2 ) >= ( 5 * ( 10 ^ ( -6 ) ) * x + 500 ) / ( ( 2501 * x + ( 10 ^ 8 ) ) * ( 11 / 20 ) ) (1)
From the definition field of divisor
( 2501 * x + ( 10 ^ 8 ) ) * ( 11 / 20 ) ≠ 0 (2 )
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 ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
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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