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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 Your problem has not been solved here? Please take a look at the hot problems !