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Assignment:Find the solution set of inequality (195*a^2+63*a+18)/(19*a^2+6*a+3) <(593*a^2+208*a+59)/(57*a^2+18*a+9) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 195 * a ^ 2 + 63 * a + 18 ) / ( 19 * a ^ 2 + 6 * a + 3 ) < ( 593 * a ^ 2 + 208 * a + 59 ) / ( 57 * a ^ 2 + 18 * a + 9 ) (1)
From the definition field of divisor
19 * x ^ 2 + 6 * x + 3 ≠ 0 (2 )
From the definition field of divisor
57 * x ^ 2 + 18 * x + 9 ≠ 0 (3 )
From inequality(1):
a < -2.07359 或 a > -0.30141
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)
a < -2.07359 或 a > -0.30141 (4)
From inequalities (3) and (4)
a < -2.07359 或 a > -0.30141 (5)
The final solution set is :
a < -2.07359 或 a > -0.30141Your problem has not been solved here? Please take a look at the hot problems !