Mathematics
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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 <(1+x)(1-2/3x) <1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        0 < ( 1 + x ) * ( 1 - 2 / 3 * x )         (1)
         ( 1 + x ) * ( 1 - 2 / 3 * x ) <1         (2)

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

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

    The final solution set is :

         -1 < x < 0 或  1/2 < x < 3/2




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