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 1/3 <(9xx-9x+2)/(9xx-1) <2/3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        1 / 3 < ( 9 * x * x - 9 * x + 2 ) / ( 9 * x * x - 1 )         (1)
         ( 9 * x * x - 9 * x + 2 ) / ( 9 * x * x - 1 ) <2 / 3         (2)
        From the definition field of divisor
         9 * x * x - 1 ≠ 0        (3 )

    From inequality(1):
         x < -0.333333 或  x > 7/6
    From inequality(2):
         -0.333333 < x < 8/3
    From inequality(3):
         x < -1/3 或  -1/3 < x < 1/3 或  x > 1/3

    From inequalities (1) and (2)
         7/6 < x < 8/3     (4)
    From inequalities (3) and (4)
         7/6 < x < 8/3     (5)

    The final solution set is :

         7/6 < x < 8/3




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


Return