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 1/6*{1+[1-(1-a)^6]*(24*a+10)/(2+3*a)} <1/4*{1+[1-(1-a)^4]*(8*a+8)/(2+a)} .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / 6 * ( 1 + ( 1 - ( 1 - a ) ^ 6 ) * ( 24 * a + 10 ) / ( 2 + 3 * a ) ) <1 / 4 * ( 1 + ( 1 - ( 1 - a ) ^ 4 ) * ( 8 * a + 8 ) / ( 2 + a ) ) (1)
From the definition field of divisor
2 + 3 * x ≠ 0 (2 )
From the definition field of divisor
2 + x ≠ 0 (3 )
From inequality(1):
a < -2.147266 或 -2 < a < -0.666667 或 a > -0.323258
From inequality(2):
a < -2/3 或 a > -2/3
From inequality(3):
a < -2 或 a > -2
From inequalities (1) and (2)
a < -2.147266 或 -2 < a < -0.666667 或 a > -0.323258 (4)
From inequalities (3) and (4)
a < -2.147266 或 -2 < a < -0.666667 或 a > -0.323258 (5)
The final solution set is :
a < -2.147266 或 -2 < a < -0.666667 或 a > -0.323258Your problem has not been solved here? Please take a look at the hot problems !