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           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality 6(100+x^2) ≤(100+x^2)-x(100+x^2) <8(100+x^2) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities：
        6 * ( 100 + x ^ 2 ) ≤ ( 100 + x ^ 2 ) - x * ( 100 + x ^ 2 )         (1)
         ( 100 + x ^ 2 ) - x * ( 100 + x ^ 2 ) <8 * ( 100 + x ^ 2 )         (2)

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    From inequality(1)：
         x ≤ -5
    From inequality(2)：
         x ＞ -7

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    From inequalities (1) and (2)
         -7 < x ≤ -5     (3)

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    The final solution set is :
         -7 < x ≤ -5

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