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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality -1.4 ≤(1.7*3.8)/[1.7*1.7-(1.2x-1.5)*(6.3-1.2x)] ≤0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        -1.4 ≤ ( 1.7 * 3.8 ) / ( 1.7 * 1.7 - ( 1.2 * x - 1.5 ) * ( 6.3 - 1.2 * x ) )         (1)
         ( 1.7 * 3.8 ) / ( 1.7 * 1.7 - ( 1.2 * x - 1.5 ) * ( 6.3 - 1.2 * x ) ) ≤0         (2)
        From the definition field of divisor
         1.7 * 1.7 - ( 1.2 * x - 1.5 ) * ( 6.3 - 1.2 * x ) ≠ 0        (3 )

    From inequality(1):
         x ≤ 1.838244 或  x ≥ 4.661756
    From inequality(2):
         1.838244 ≤ x ≤ 4.661756
    From inequality(3):
         x < 1.838244 或  1.838244 < x < 4.661756 或  x > 4.661756

    From inequalities (1) and (2)
         1.838244 ≤ x ≤ 1.838244 或  4.661756 ≤ x ≤ 4.661756    (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)

    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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