Mathematics
语言:中文
Language:English

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)} <1/5*{1+[1-(1-a)^5]*(7.6*a+4.6)/(1+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 / 5 * ( 1 + ( 1 - ( 1 - a ) ^ 5 ) * ( 7.6 * a + 4.6 ) / ( 1 + a ) )         (1)
        From the definition field of divisor
         2 + 3 * x ≠ 0        (2 )
        From the definition field of divisor
         1 + x ≠ 0        (3 )

    From inequality(1):
         a < -1.212218 或  -1 < a < -0.666667 或  a > -0.270178
    From inequality(2):
         a < -2/3 或  a > -2/3
    From inequality(3):
         a < -1 或  a > -1

    From inequalities (1) and (2)
         a < -1.212218 或  -1 < a < -0.666667 或  a > -0.270178    (4)
    From inequalities (3) and (4)
         a < -1.212218 或  -1 < a < -0.666667 或  a > -0.270178    (5)

    The final solution set is :

         a < -1.212218 或  -1 < a < -0.666667 或  a > -0.270178




Your problem has not been solved here? Please take a look at the  hot problems !


Return