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           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality {(a+1)/[0.53*(a+1)+1]} >1.06/{a/[(0.53*a)+1]} .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         ( ( a + 1 ) / ( 0.53 * ( a + 1 ) + 1 ) ) >1.06 / ( a / ( ( 0.53 * a ) + 1 ) )         (1)
        From the definition field of divisor
         0.53 * ( x + 1 ) + 1 ≠ 0        (2 )
        From the definition field of divisor
         ( 0.53 * x ) + 1 ≠ 0        (3 )
        From the definition field of divisor
         x / ( ( 0.53 * x ) + 1 ) ≠ 0        (4 )

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    From inequality(1)：
         a < -2.886792 或  -1.249011 < a < 0 或  a ＞ 1.84902
    From inequality(2)：
         a < -2.886792 或  a ＞ -2.886792
    From inequality(3)：
         a < -1.886792 或  a ＞ -1.886792
    From inequality(4)：
         a < -1.886792 或  -1.886792 < a < 0 或  a ＞ 0

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    From inequalities (1) and (2)
         a < -2.886792 或  -1.249011 < a < 0 或  a ＞ 1.84902    (5)
    From inequalities (3) and (5)
         a < -2.886792 或  -1.249011 < a < 0 或  a ＞ 1.84902    (6)
    From inequalities (4) and (6)
         a < -2.886792 或  -1.249011 < a < 0 或  a ＞ 1.84902    (7)

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    The final solution set is :
         a < -2.886792 或  -1.249011 < a < 0 或  a ＞ 1.84902

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