Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 2 questions will be solved this time.Among them
           ☆2 inequalities

[ 1/2Inequality]
    Assignment:Find the solution set of inequality x-1/x-2 <= 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x - 1 / x - 2 <= 0         (1)
        From the definition field of divisor
        x ≠ 0        (2 )

    From inequality(1):
         x ≤ -0.414214 或  0 ≤ x ≤ 2.414214
    From inequality(2):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         x ≤ -0.414214 或  0 < x ≤ 2.414214     (3)

    The final solution set is :

         x ≤ -0.414214 或  0 < x ≤ 2.414214

[ 2/2Inequality]
    Assignment:Find the solution set of inequality x-1/x >= 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x - 1 / x >= 0         (1)
        From the definition field of divisor
        x ≠ 0        (2 )

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

    From inequalities (1) and (2)
         -1 ≤ x < 0 或  x ≥ 1    (3)

    The final solution set is :

         -1 ≤ x < 0 或  x ≥ 1




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