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           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality -1.5 ≤6.46/[1.44x*x-10.56x+18.64] ≤0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities：
        -1.5 ≤6.46 / ( 1.44 * x * x - 10.56 * x + 18.64 )         (1)
        6.46 / ( 1.44 * x * x - 10.56 * x + 18.64 ) ≤0         (2)
        From the definition field of divisor
         1.44 * x * x - 10.56 * x + 18.64 ≠ 0        (3 )

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    From inequality(1)：
         x ≤ 2.95956 或  x ≥ 4.373773
    From inequality(2)：
         2.95956 ≤ x ≤ 4.373773
    From inequality(3)：
         x < 2.95956 或  2.95956 < x < 4.373773 或  x ＞ 4.373773

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    From inequalities (1) and (2)
         2.95956 ≤ x ≤ 2.95956 或  4.373773 ≤ x ≤ 4.373773    (4)
    From inequalities (3) and (4)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (5)

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    The final solution set is :
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!

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