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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 7125/((7000/X+5)/[(1445.043+13350/X/95%)]) ≤4.5 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        7125 / ( ( 7000 / X + 5 ) / ( ( 1445.043 + 13350 / X / 95 % ) ) ) ≤4.5         (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
         ( 1445.043 + 13350 / x / 95 % ) ≠ 0        (4 )
        From the definition field of divisor
         ( 7000 / x + 5 ) / ( ( 1445.043 + 13350 / x / 95 % ) ) ≠ 0        (5 )

    From inequality(1):
         X ≤ 0.002087
    From inequality(2):
         X < 0 或  X > 0
    From inequality(3):
         X < 0 或  X > 0
    From inequality(4):
         X ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
    From inequality(5):
         X < -0.000972 或  X > -0.000972

    From inequalities (1) and (2)
         X < 0 或  0 < X ≤ 0.002087     (6)
    From inequalities (3) and (6)
         X < 0 或  0 < X ≤ 0.002087     (7)
    From inequalities (4) and (7)
         X < 0 或  0 < X ≤ 0.002087     (8)
    From inequalities (5) and (8)
         X < -0.000972 或  -0.000972 < X < 0 或  0 < X ≤ 0.002087     (9)

    The final solution set is :

         X < -0.000972 或  -0.000972 < X < 0 或  0 < X ≤ 0.002087




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