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           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality 0.492/[(50+6.8x)/(90+15.3x)] >0.508/[(40+8.5x)/(90+15.3x)] .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
        0.492 / ( ( 50 + 6.8 * x ) / ( 90 + 15.3 * x ) ) >0.508 / ( ( 40 + 8.5 * x ) / ( 90 + 15.3 * x ) )         (1)
        From the definition field of divisor
         90 + 15.3 * x ≠ 0        (2 )
        From the definition field of divisor
         ( 50 + 6.8 * x ) / ( 90 + 15.3 * x ) ≠ 0        (3 )
        From the definition field of divisor
         90 + 15.3 * x ≠ 0        (4 )
        From the definition field of divisor
         ( 40 + 8.5 * x ) / ( 90 + 15.3 * x ) ≠ 0        (5 )

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    From inequality(1)：
         x < -7.352941 或  -5.882353 < x < -4.705882 或  x ＞ √432618131/√7000000
    From inequality(2)：
         x < -5.882353 或  x ＞ -5.882353
    From inequality(3)：
         x < -7.352941 或  -7.352941 < x < -5.882353 或  x ＞ -5.882353
    From inequality(4)：
         x < -5.882353 或  x ＞ -5.882353
    From inequality(5)：
         x < -5.882353 或  -5.882353 < x < -4.705882 或  x ＞ -4.705882

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    From inequalities (1) and (2)
         x < -7.352941 或  -5.882353 < x < -4.705882 或  x ＞ √432618131/√7000000    (6)
    From inequalities (3) and (6)
         x < -7.352941 或  -5.882353 < x < -4.705882 或  x ＞ √432618131/√7000000    (7)
    From inequalities (4) and (7)
         x < -7.352941 或  -5.882353 < x < -4.705882 或  x ＞ √432618131/√7000000    (8)
    From inequalities (5) and (8)
         x < -7.352941 或  -5.882353 < x < -4.705882 或  x ＞ √432618131/√7000000    (9)

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    The final solution set is :
         x < -7.352941 或  -5.882353 < x < -4.705882 或  x ＞ √432618131/√7000000

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