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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1/10*{1+[1-(1-a)^10]*(186.89*a^2+54.23*a+12.8)/(17*a^2+5*a+2)} <[1/10+1-(1-a)^10] .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / 10 * ( 1 + ( 1 - ( 1 - a ) ^ 10 ) * ( 186.89 * a ^ 2 + 54.23 * a + 12.8 ) / ( 17 * a ^ 2 + 5 * a + 2 ) ) < ( 1 / 10 + 1 - ( 1 - a ) ^ 10 ) (1)
From the definition field of divisor
17 * x ^ 2 + 5 * x + 2 ≠ 0 (2 )
From inequality(1):
a < -0.790029 或 0 < a < 0.539585 或 a > 2
From inequality(2):
a ∈ 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)
a < -0.790029 或 0 < a < 0.539585 或 a > 2 (3)
The final solution set is :
a < -0.790029 或 0 < a < 0.539585 或 a > 2Your problem has not been solved here? Please take a look at the hot problems !