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

    From inequality(1):
         x ≤ 0.5 或  x ≥ 5/3
    From inequality(2):
         x < 1/2 或  x > 1/2

    From inequalities (1) and (2)
         x < 1/2 或  x ≥ 5/3    (3)

    The final solution set is :

         x < 1/2 或  x ≥ 5/3

[ 2/2Inequality]
    Assignment:Find the solution set of inequality (x+3)/(1-2x) <= 2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( x + 3 ) / ( 1 - 2 * x ) <= 2         (1)
        From the definition field of divisor
         1 - 2 * x ≠ 0        (2 )

    From inequality(1):
         x ≤ -1/5 或  x ≥ 0.5
    From inequality(2):
         x < 1/2 或  x > 1/2

    From inequalities (1) and (2)
         x ≤ -1/5 或  x > 1/2    (3)

    The final solution set is :

         x ≤ -1/5 或  x > 1/2




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