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

    From inequality(1):
         -1.618034 ≤ x ≤ 0 或  x ≥ 0.618034
    From inequality(2):
         x ≤ -1 或  0 ≤ x ≤ 1
    From inequality(3):
         x < 0 或  x > 0

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

    The final solution set is :

         -1.618034 ≤ x ≤ -1 或  0.618034 ≤ x ≤ 1




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


Return