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 log(3,(4x+1)/(2-5x)) >2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         log( 3 , ( 4 * x + 1 ) / ( 2 - 5 * x ) ) >2         (1)
        From the definition field of divisor
         2 - 5 * x ≠ 0        (2 )
        From the definition field of log
         3 > 0        (3 )
         ( 4 * x + 1 ) / ( 2 - 5 * x ) > 0 also ≠ 1        (4 )

    From inequality(1):
        The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
    From inequality(2):
         x < 2/5 或  x > 2/5
    From inequality(3):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(4):
         -1/4 < x < 1/9 或  1/9 < x < 0.4

    The final solution set is :

        The solution set is empty,that is, the inequality will never be estatlished within the real number range.




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


Return