current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1/9*{[1-(1-a)^9]*(198.76*a^2+70*a+19.36)/(19*a^2+6*a+3)+1} <[1/9+1-(1-a)^9] .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / 9 * ( ( 1 - ( 1 - a ) ^ 9 ) * ( 198.76 * a ^ 2 + 70 * a + 19.36 ) / ( 19 * a ^ 2 + 6 * a + 3 ) + 1 ) < ( 1 / 9 + 1 - ( 1 - a ) ^ 9 ) (1)
From the definition field of divisor
19 * x ^ 2 + 6 * x + 3 ≠ 0 (2 )
From inequality(1):
a < -0.886738 或 0 < a < 0.310369
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 < -0.886738 或 0 < a < 0.310369 (3)
The final solution set is :
a < -0.886738 或 0 < a < 0.310369 Your problem has not been solved here? Please take a look at the hot problems !