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Assignment:Find the solution set of inequality (10^(-6))+(10^(-21))*(f^2) >= (5*10^(-6)*f+500)/((2500*f+f+10^(8))*(-0.15)) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 10 ^ ( -6 ) ) + ( 10 ^ ( -21 ) ) * ( f ^ 2 ) >= ( 5 * 10 ^ ( -6 ) * f + 500 ) / ( ( 2500 * f + f + 10 ^ ( 8 ) ) * ( -0.15 ) ) (1)
From the definition field of divisor
( 2500 * x + x + 10 ^ ( 8 ) ) * ( -0.15 ) ≠ 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):
f ∈ 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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