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Assignment:Find the solution set of inequality (1+(1-(1-a)^9)*(195*a*a+63*a+18)/(19*a*a+6*a+3))/9 <(1+(1-(1-a)^10)*(186.89*a*a+54.23*a+12.8)/(17*a*a+5*a+2))/10 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1 + ( 1 - ( 1 - a ) ^ 9 ) * ( 195 * a * a + 63 * a + 18 ) / ( 19 * a * a + 6 * a + 3 ) ) / 9 < ( 1 + ( 1 - ( 1 - a ) ^ 10 ) * ( 186.89 * a * a + 54.23 * a + 12.8 ) / ( 17 * a * a + 5 * a + 2 ) ) / 10 (1)
From the definition field of divisor
19 * x * x + 6 * x + 3 ≠ 0 (2 )
From the definition field of divisor
17 * x * x + 5 * x + 2 ≠ 0 (3 )
From inequality(1):
0.035378 < a < 0.193295
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 inequality(3):
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)
0.035378 < a < 0.193295 (4)
From inequalities (3) and (4)
0.035378 < a < 0.193295 (5)
The final solution set is :
0.035378 < a < 0.193295 Your problem has not been solved here? Please take a look at the hot problems !