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           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality 3.96/y+3.96/y+3.96/(y+0.5)+2.5/y+3.5/y+3.5/(y+0.05) <10 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
        3.96 / y + 3.96 / y + 3.96 / ( y + 0.5 ) + 2.5 / y + 3.5 / y + 3.5 / ( y + 0.05 ) <10         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of divisor
        x ≠ 0        (3 )
        From the definition field of divisor
         x + 0.5 ≠ 0        (4 )
        From the definition field of divisor
        x ≠ 0        (5 )
        From the definition field of divisor
        x ≠ 0        (6 )
        From the definition field of divisor
         x + 0.05 ≠ 0        (7 )

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    From inequality(1)：
         y < -0.5 或  -0.424105 < y < 0 或  y ＞ 2.052092
    From inequality(2)：
         y < 0 或  y ＞ 0
    From inequality(3)：
         y < 0 或  y ＞ 0
    From inequality(4)：
         y < -1/2 或  y ＞ -1/2
    From inequality(5)：
         y < 0 或  y ＞ 0
    From inequality(6)：
         y < 0 或  y ＞ 0
    From inequality(7)：
         y < -1/20 或  y ＞ -1/20

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    From inequalities (1) and (2)
         y < -0.5 或  -0.424105 < y < 0 或  y ＞ 2.052092    (8)
    From inequalities (3) and (8)
         y < -0.5 或  -0.424105 < y < 0 或  y ＞ 2.052092    (9)
    From inequalities (4) and (9)
         y < -1/2 或  -0.424105 < y < 0 或  y ＞ 2.052092    (10)
    From inequalities (5) and (10)
         y < -1/2 或  -0.424105 < y < 0 或  y ＞ 2.052092    (11)
    From inequalities (6) and (11)
         y < -1/2 或  -0.424105 < y < 0 或  y ＞ 2.052092    (12)
    From inequalities (7) and (12)
         y < -1/2 或  -0.424105 < y < -1/20 或  -1/20 < y < 0 或  y ＞ 2.052092    (13)

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    The final solution set is :
         y < -1/2 或  -0.424105 < y < -1/20 或  -1/20 < y < 0 或  y ＞ 2.052092

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