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 >-x >x^2-1 >-1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 3 inequalities:
        1 > - x         (1)
         - x > x ^ 2 - 1         (2)
         x ^ 2 - 1 > -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):
         -1.618034 < x < 0.618034
    From inequality(3):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         -1.618034 < x < 0.618034     (4)
    From inequalities (3) and (4)
         -1.618034 < x < 0 或  0 < x < 0.618034     (5)

    The final solution set is :

         -1.618034 < x < 0 或  0 < x < 0.618034




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


Return