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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 x^2 <5x+12 <100x/28 <2x+16     Question type: Inequality
    Solution:
    The inequality can be reduced to 5 inequalities:
         x ^ 2 <5 * x + 12         (1)
        5 * x + 12 <100 * x / 28         (2)
        100 * x / 28 <2 * x + 16         (3)
        2 * x + 16 < x + 150         (4)
         x + 150 <5 * x / 3         (5)

    From inequality(1):
         -1.772002 < x < 6.772002
    From inequality(2):
         x < -42/5
    From inequality(3):
         x < 112/11
    From inequality(4):
         x < 134
    From inequality(5):
         x > 225

    From inequalities (1) and (2)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (6)
    From inequalities (3) and (6)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (7)
    From inequalities (4) and (7)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (8)
    From inequalities (5) and (8)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (9)

    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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