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 -1/2 <-log(9,x) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -1 / 2 < - log( 9 , x )         (1)
        From the definition field of log
         9 > 0        (2 )
         x > 0 并且 ≠ 1        (3 )

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3):
         0 < x < 1 或  x > 1

    From inequalities (1) and (2)
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!    (4)
    From inequalities (3) and (4)
         0 < x < 1 或  x > 1    (5)

    The final solution set is :

         0 < x < 1 或  x > 1




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


Return