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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 5574+14x >3600+32x >588+17x >697+15x >626+14x >120+20x >580+13x .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 6 inequalities:
        5574 + 14 * x >3600 + 32 * x         (1)
        3600 + 32 * x >588 + 17 * x         (2)
        588 + 17 * x >697 + 15 * x         (3)
        697 + 15 * x >626 + 14 * x         (4)
        626 + 14 * x >120 + 20 * x         (5)
        120 + 20 * x >580 + 13 * x         (6)

    From inequality(1):
         x < 329/3
    From inequality(2):
         x > -1004/5
    From inequality(3):
         x > 109/2
    From inequality(4):
         x > -71
    From inequality(5):
         x < 253/3
    From inequality(6):
         x > 460/7

    From inequalities (1) and (2)
         -1004/5 < x < 329/3     (7)
    From inequalities (3) and (7)
         109/2 < x < 329/3     (8)
    From inequalities (4) and (8)
         109/2 < x < 329/3     (9)
    From inequalities (5) and (9)
         109/2 < x < 253/3     (10)
    From inequalities (6) and (10)
         460/7 < x < 253/3     (11)

    The final solution set is :

         460/7 < x < 253/3




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