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

    From inequality(1):
         0 ≤ x ≤ 2
    From inequality(2):
         x ≤ 0 或  x ≥ 1/2
    From inequality(3):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         0 ≤ x ≤ 0 或  1/2 ≤ x ≤ 2    (4)
    From inequalities (3) and (4)
         1/2 ≤ x ≤ 2    (5)

    The final solution set is :

         1/2 ≤ x ≤ 2




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


Return