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

    From inequality(1):
         x < 0 或  x > 0
    From inequality(2):
         x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!

    From inequalities (1) and (2)
         x < 0 或  x > 0    (3)

    The final solution set is :

         x < 0 或  x > 0




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


Return