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☆1 inequalities
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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):
f ∈ R (R is all real numbers),that is, in the real number range, the inequality is always 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!
From inequalities (1) and (2)
f ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (3)
The final solution set is :
f ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!Your problem has not been solved here? Please take a look at the hot problems !